176 Answered Questions for the topic Integration

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,... more
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Integration Math Calculus Volume

09/05/21

Application of Integration. Finding Volume: Rotating the region.
I need a tutor's assistance on a homework problem. I am given y=x^2, x=y^2, and about y=1. And I am asked to find the volume by rotating the region bounded by the given curves about y=1. However, I... more
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Integration Math Calculus Calc

08/13/21

Finding area of a region on graph using integration.
Consider the following.y = x2y = 12 − x(a) Find the area of the region by integrating with respect to x.(b) Find the area of the region by integrating with respect to y.Any help will be very... more
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Integration Calculus

08/04/21

Find the area of the region bounded by y=1/x^2, y=4, and x=5. Use any method to solve.(e.g washer, disk shell)
Use any method listed above.
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07/24/21

indefinite integral using partial fractions
∫(x2-3x-7)/(2x+3)(x+1)2dx
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07/24/21

find the indefinite integral by using partial fractions

∫x^2+3x-7⁄(2x+3)(x+1)^2dx
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03/20/21

What is the right hand riemann sum approximation
A function f is continuous on the closed interval [4,12] and differentiable on the open interval (4,12) and f has the values below. Using 4 subintervals, what is the right hand riemann sum... more
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Integration Calculus

12/14/20

Use integration by substitution to solve the integral below. Use the C for the constant integration.
f(sqrt 3x^4-4x+3)(12x^3-4)dxPlease help. I can send a picture of the equation if it’s confusing.
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Integration Math Calculus Probability

11/18/20

What is the value of C so that the following function is a probability density function? f(x)=Cx^9.5 --> see description
f(x)=Cx9.5 if 0≤x≤2, 0 otherwise
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Integration Calculus

11/02/20

calculus functions integration by parts
Which of the following functions of x can be integrated with respect to x without integration by parts, and purely using integration by u-substitution and the knowledge of the antiderivative of the... more
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Integration Calculus

10/28/20

Calculus Integration by Parts
Which of these integrals requires the method of integration by parts? (4 points)Answer Choices:
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Integration Calculus Derivatives

09/28/20

Differentiation and Integration of a difficult function
I am an expert and experienced Math and Physics professional. I thought I could use help from Math tutoring community and new ideas for solution of a difficult problem.∫.Given that y =... more
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Integration Calculus Calc Integral

09/24/20

How do I integrate ∫xsin(x/2)dx from 0 to pi using Integration by parts?
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07/25/20

Maclaurin Series Term by Term Integration
Approximate the integral from 0 to 1 of (sin(x)/x) dx with an accuracy of 10^-6 using the Maclaurin series of sin, division of that Maclaurin series by x, and term-by-term integration. You will... more
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07/25/20

Maclaurin Series and Term-By-Term Integration
Approximate the integral from 0 to 1 of e^(-x^2)dx with an accuracy of 10^-6 using the maclaurin series of e^x , replacement of x by -x^2, and term-by-term integration. You will have to figure out... more
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07/25/20

Maclaurin Series and Term-by-term Integration

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07/25/20

Maclaurin Integration and Term-by-Term Integration
1.)a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an... more
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06/30/20

Trigonometric Substitution Integration
4.) ∫((9-25x^2)^(1/2)*dx)/(x^2)
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06/30/20

Trigonometric Substitution Integration
3.) ∫(dx)/((x)*(9+25x^2)^(1/2))
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06/30/20

Trigonometric Substitution Integration
2.) ∫ ((9+25x^2)^(1/2)*dx)/(x^2)
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06/30/20

Trig Substitution Integration
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06/01/20

Fundamental theorem of Calculus
Given that D(t) is a continuous and diffrentiable function . Also D(0) = 0 , D(5) = 120 and D(20) = 200 , simplify the integral using fundamental theorem , ∫ D'(t/4)dt inthe interval 0<t... more
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Integration Calculus Calculus 2

05/11/20

Calculus Question HEEELP!!

Let, x^2f(x) = ∫ e^(-t^2) dt xfind the critical points of f(x) WITH DETAILS . note: integral from (x) to (x^2).
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Integration Calculus Calculus 2

05/11/20

CALCULUS QUESTION HEEELP ASAP!!!

If f is integrable on [a, b], show by example that : tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).
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Integration Calculus Calculus 2

05/11/20

Can Somebody HEEELP PLEASE!!! ASAP
Definition: A function p (t) is a probability density function provided it satisfies the following properties:1. p (t) >= 0 for all t,2. integral from (negative infinity ) to ( infinity) of p(t)... more
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