find the indefinite integral and check the result by differentiation. (use c for the constant of integration.) $$ \int \sqrt[3]{{\color{red}3} - {\color{red}4} x^2} ({\color{red}-8} x) \text{ }dx $$

Answers

Answer 1

The indefinite integral is - 1 / [5(6 + [tex]x^{5}[/tex])] + C.

An integral is considered to be indefinite if it has no upper or lower bounds. In mathematics, the most generic antiderivative of f(x) is known as an indefinite integral and expressed by the expression f(x) dx = F(x) + C. Without upper and lower bounds on the integrand, indefinite integrals are stated using the notation f(x), which represents the function as an antiderivative of F. Consequently, "f(x) dx=F" (x). As we observed in the same example with antiderivatives, the integral, x3 dx=14x4+C, is one example.

The area under the f(x) curve from x=a to x=b is represented by the definite integral of f(x), which is a NUMBER. Integral indefinite. An indefinite integral of a function f(x), also known as an antiderivative, is denoted by and its derivative is denoted by f. (x). The indefinite integral is not the only solution because the derivative of a constant is zero. Integration is the action of locating an indefinite integral.

Use a u-substitution with u = (6 + [tex]x^{5}[/tex])

du = 5[tex]x^{4}[/tex]dx

1/5 ∫ [tex]u^{-2}[/tex]du

= -1/5 [tex]u^{-1}[/tex] + C

= - 1 / [5(6 + [tex]x^{5}[/tex])] + C

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Correct Question:

Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)

[tex]\int\limits^ {} \frac{x^{4} }{(6+x^{5})^{2} } dx[/tex]


Related Questions

Help will be appreciated !

Answers

Answer:

The answer is 67.5!!

Step-by-step explanation:

Brainliest Please!

When f(x)= -4x + 7 ,find f(1)

Evaluate function for given value

Answers

Answer:

f(1)=3

Step-by-step explanation:

f(1)= -4(1)+7=3

Suppose a 16-sided die was rolled. Fill in the information [6 mks]

a. The probability of rolling a number greater than but not equal to 10 is _______ as a fraction, as a ratio _______ and as a percentage ____________

b. The odds in favour of rolling an even number less than or equal to 7 are ____ : ____ whereas the odds against rolling an even number less than or equal to 7 are ____ : ____

c. What are the odds in favour of rolling a number less than 5? ____ : ____

Answers

Answer:

No idea

Step-by-step explanation:

solving steps for 2/3(9+x) = -5(4-x)​

Answers

Answer:

x = -6

Step-by-step explanation:

2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)

6 + 2/3x = -20 -5x ( add 20 on both sides)

26 + 2/3x = -5x ( minus 2/3x on both sides)

26 = -4.6x (divided -4.6x on both sides)

-5.6 = x ( round up)

-6 = x

hope this helps

Larry read a 400-page book. He read at a rate of 10 pages per day for d days.

Answers

Answer:

It took him 40 days to complete the book.

Step-by-step explanation:

Divide 400 by 10 and you should get 40 as an answer.

Answer:

d=400/10

Hope this helps

Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12

Answers

Answer:

3

Step-by-step explanation:

Sorry if it's wrong and semogamem helps

Answer the question below.

Answers

Answer:

1/3

Step-by-step explanation:

Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24

Answers

Answer:

16/24

Step-by-step explanation:

2 x 8 = 16

3 x 8 = 24

8pq+20qr-16s factorise plz

Answers

Answer:

asd

Step-by-step explanation:

sadasdasdasdasnst465557

Answer:

Step-by-step explanation:

Madeline deposited $750 into an investment account that earns 1.5% interest compounded annually. If no deposits nor withdrawals are made, how much in dollars will be in the account after 15 years?
A $1,687.50
B $937.67
C $918.75
D $870.40

Answers

B $937.67 is the correct answer

The answer is not 15

Answers

the area would equal 30
Parallelogram = base * h
base = 10, height = 3
10 * 3 = 30

Answer: 30 cm^2

describe a good and safe relationship​

Answers

Answer:

Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.

Step-by-step explanation:

I hope this helps :)

The sample mean is a statistic. True or false​

Answers

Answer:

true

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST

Answers

The answer is b, there is only 1 y intercept so b is not true

Answer:

B

Step-by-step explanation:

So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!

I need help with this i cant cuaet understand it.​

Answers

Answer:

Seattle is more likely to have rain.

Step-by-step explanation:

Seattle has a 75% chance of rain

Tacoma has a 1/4 chance of rain.

100% = 4/4

75% = 3/4

50% = 2/4

25% = 1/4

25% < 75%

Answer:

Step-by-step explanation:

Someone please help me! I really need help I’ll mark brainliest

Answers

Answer:

it is B

Step-by-step explanation:

trust me i know this is right 100%

I am pretty sure it’s B! I had this question before so It should be B

helpppp meeeee plssss i will love u forever

Answers

Answer:

hi

Step-by-step explanation:

-10s=-3-7

-10s=-10

s=1

have a nice day

11 divided by 6 please help

Answers

Answer:

1.83 (the 3 keeps going so I simplified it)

Step-by-step explanation:

11/6 = 1.8333333333 (keeps going...)

:))

HELP!!!
FIRST TO ANSWER GETS BRAINLEST!!!
Jack writes the following expression to compare the temperature on two winter days.
Choose >, < or = from the drop-down menu to make the statement true.
-2°C Choose...
-5°C

Answers

Answer:

-2 Celsius >-5 Celsius is the answer.

Answer:

-2 > -5

Step-by-step explanation:

think about which of the two numbers is nearest to 0

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

d) 2

because all the figures +2

Someone please help me:(

Answers

Answer:   2/3 is bigger                                                                                                                                        step-by-step explanation:

2/3 is 0.667 and 3/5 is 0.6

what is the answer pss help mw | -4 | _____ -4

Answers

Is it 0 or 4 one of those :)))

In a recent year, 21.4% of all registered doctors were female. If there were 45,700 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number.

Answers

Answer:

268396

Step-by-step explanation:

given that in a recent year 21.2% of all registered doctors were female. hence final answer is that there are total approx 268396 registered doctor's.

The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.

Answers

9514 1404 393

Answer:

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

Solve for a Chocolate Chip Cookie!

Answers

Answer:

Hi! The answer to your question is x=-2 and y=3

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

x= 4-2y and y= 2- 1/2x

now gimme my cookie

questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth. ​

Answers

9514 1404 393

Answer:

  145.3 square inches

Step-by-step explanation:

The lateral area of the cylinder is given by ...

  LA = 2πrh

  LA = 2π(2.5 in)(9.25 in) = 46.25π in²

  LA ≈ 145.3 in²

About 145.3 square inches of paper is used for the label.

Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196

Answers

Answer:

A

Step-by-step explanation:

(3x - 14)^2

9x^2 - 42x -42x +196

9x^2 - 84 +196 is the correct answer

Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?

LOOK AT PICTURE

Answers

The (-3,4) because it isn’t following the line it’s in between he two lines and the other answers are on the line.
I’m not sure but good luck you got this

The figure below consists of a triangle, a rectangle, and a trapezoid.
What is the area of the figure in square units?
A. 39
B. 37
C. 49
D. 42

Answers

Answer:

Area of the figure = 39 square units

Step-by-step explanation:

Find the diagram attached

Area of the triangle = 1/2 * base * height

Base of triangle = 4

Height = 1 + 5  = 6

Area of the triangle = 1/2 *4 * 6

Area of the triangle = 12units²

Area of rectangle = Length * Width

Length = 4

Width = 5

Area of rectangle = 4 * 5

Area of rectangle = 20units²

Area of trapezoid = 1/2(a+b)*h

a and b are the parallel sides

h is the height

a = 2

b = 5

h = 6-4 = 2

Area of trapezoid = 1/2(2+5)*2

Area of trapezoid = 1/2*7*2

Area of trapezoid = 7units²

Area of the figure  = Area of the triangle +Area of the rectangle + Area of the trapezoid

Area of the figure = 12 + 20 + 7

Area of the figure = 39 square units

A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)

Answers

Answer:

B=one half (9) (6)

Step-by-step explanation:

I took the test

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