125 Answered Questions for the topic Integrals

06/05/22

#### Is it true or false?

The integral of (2x+1)dx from 2 to 4 is equal to (4²+4)-(3²+3).a. Trueb. False

#### Sketch the region enclosed by the given curves and find the area.

Sketch the region enclosed by the given curves and find the area. Given: x=2y², x= 4+y

#### Sketch the region enclosed by the given curves and find the area.

Sketch the region enclosed by the given curves and find the area. 1. y=12-x², y=x²-62. x= 2y², x=4+y3. y=1/x, y=x , y= 1/4 * x, x>0

05/28/22

#### Solve for the following

In the following exercises, find the area of the region by integrating (a) with respect to x and (b) with respect to y. (c) Compare your results. Which method is simpler? (d) In general, will this...
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05/27/22

#### Evaluate the definite integral using substitution rule.

Evaluate the definite integral using substitution rule.1.integrate √(2x + 1) dx from 0 to 42.integrate x/(√(x + 1)) dx from 0 to 153.integrate x*(1 - x) ^ 3 dx from 0 to 0.54.integrate x *√(x - 3)...
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05/27/22

#### Using the Fundamental Theorem of Calculus (FTC), compute the following:

Using the Fundamental Theorem of Calculus (FTC), compute the following:1. integrate (x ^ 3 + 5) dx from 2 to 32. integrate (x ^ 2 + 1) dx from 2 to 6

#### Integral Question

Would anyone be able to help me solve this integral?∫ (5x)^5 √(5x)^3 + 1 dx

01/06/22

#### CALCULUS, INTEGRALS, APPLICATION OF INTEGRATION

Consider the region bounded by y = 2√x , x-axis, and x = 1.Set-up and evaluate the integrals that will give the area of the region using the following:i. vertical stripsii. horizontal stripsSet up...
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#### Evaluating the surface integral with the part of a plane inside a cylinder

Question: how to calculate the surface integral of∫xz dσp where p is the part of the plane z+x-5=0 that is inside the cylinder x2+y2=1.Im trying to understand how to do this exercise... I guess...
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11/20/21

#### How do you tell when an improper integral converges or diverges? (specific question)

Hello! I'm having trouble understanding why the improper integral I'm answering is labeled as divergent when it looks like it converges. The improper integral is 1/x3, in-between the interval [-1,...
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Integrals Calculus

02/22/21

#### Finding value of p for area of region

The region bounded by the x-axis and y = sinx between x = 0 and x = π is separated into two regionsby the line x = p . If the area of the region for 0 ≤ x≤ p exceeds the area of the region for p ≤...
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11/24/20

#### Suppose the integral from 2 to 8 of g of x, dx equals 13 , and the integral from 6 to 8 of g of x, dx equals negative 3 , find the value of 2 plus the integral from 2 to 6 of g of x, dx

Suppose , and , find the value of A) 16B) 18C) 8D) 32

11/24/20

#### Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?

A) B) C) D)

11/23/20

#### Which of the following integrals cannot be evaluated using a simple substitution?

a) b) c) d)

11/19/20

#### If f(2)=6 and f`(x)=sinx^3, find f(4).

i don’t know what the integral of sin(x^3) is and i can’t move onto the next steps

Integrals Calculus

11/12/20

#### Find the amount of oil that the field can be expected to yield during the first 6 years of production, assuming that the projection holds true.

Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of R(t)=((700t^2)/(t^3+32))+5 ...
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Integrals Calculus

10/30/20

#### CALCULUS NEED HELP ASAP PLEASE THANK YOU!

g(x) = x2. Find the area bounded by f(x), g(x) and the x-axis in the interval [0.5, 1]. Your work must show the integral, but you may use your calculator to evaluate it. Give 3 decimal places in...
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Integrals Calculus

10/28/20

#### Calculus Integrals

Find the range of the function . (4 points)Answer Choices:
[-4, 4]
[-4, 0]
[0, 4π]
[0, 8π]

Integrals Calculus

10/28/20

#### Calculus Integral Functions

Pumping stations deliver gasoline at the rate modeled by the function D, given by with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations deliver...
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10/05/20

#### True or False? Convergence

True/ False: If f is continuous on [0, ∞) and the (integral of 1 to ∞) from f(x)dx is convergent, then the (integral of 0 to ∞) from f(x)dx is convergent

Integrals Calculus

09/24/20

#### Calculus Inegrals Need help asap!

If and , then what is the value of ? (2 points)Answer Choices:
7
-7
17
0

09/23/20

#### Calculus Need Help Please/Integrals

. Use geometry to evaluate for . (4 points)Answer Choices:
27
13.5
12
10.5

09/23/20

#### Calculus Need help please!

Use your calculator to evaluate . Give your answer to the nearest integer

09/23/20

#### Calculus Need help please thank you!

Write the Riemann sum to find the area under the graph of the function f(x) = x2 from x = 1 to x = 5. (4 points)Answer Choices:

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