179 Answered Questions for the topic Integration

Integration Calculus 2

01/29/17

Help on a calculus problem.
Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=8−x^2 and to the right of x=1 about the y-axis.
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Integration

01/29/17

find the solid of revolution using disk method between y = x^2, x = y^2
I just need to see how the integral would be set up. From there I ca solve on my own.
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Integration Calculus

01/19/17

Integration - AP Calc AB
Use the limit definition to evaluate the definite integral fnInt (2x^3+3)dx lower bound-2 upper bound - 6. (Use right endpoints for c sub-i and equal subintervals
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Integration Calculus 2 Tan^8x

12/09/16

Indefinite integral of tan^8x
After taking the integral I have (1/7)tan^7x+C-(1/5)tan^5x-C. I got this by breaking a tan^2x off and converting it into sec^2x-1. My question is what happens to my C when I have C-C?
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12/05/16

Is Sin^-1 (x) = - Cos^-1 (x)
In integration, it is given as:   Integration of 1/(1-x^2)^(1/2) = sin^-1 (x)   and   Integration of 1/(1-x^2)^(1/2) = - cos^-1 (x)   Does this imply both are equal?
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Integration

11/02/16

integration
integrate f(t) cos (n*pi*t)/T/2)dt with limit T/2 and 0
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Integration Math Calculus Integrals

09/15/16

What's wrong with this integral?
I'm trying to integrate (x)/(d+L-x) respect to x but I get -(d+L)ln(d+L-x) + d + L -x. The correct answer is  -(d+L)ln(d+L-x) -x. What I did was to change the variable u = d + L -x. Then du= -dx.... more
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Integration

08/01/16

integration
We have to find the integration of ∫20160  [arctanx]dx the limits are from 0 to 2016 .  [.] means greastest integer
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Integration

06/09/16

Integration of siny dx /v(cos³x)(cos(x-y)) . Lower limit is 0, upper limit p/4
siny dx √(cos³xcos(x-y))
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Integration Calculus Limit

05/31/16

Find the limit of logx^2/ ({log x^2 + log (36-12x+x^2)} from 4 to 2. Please help!!
Please help me to find the limit here.  Answers will be appreciated. Thanks in advance
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05/25/16

Integral limit definition
No limit is visible in integral notation, but integration is defined in terms of a limit.  Give the definition; explain what is being limited, and how this allows an integral to calculate the exact... more
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Integration

05/24/16

Integration breaking down? Or am I being thick?
So 1/5 / P is the same as 1/5P however they integrate to 1/5lnP and 1/5ln5P respectively, what's with this differnence?
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Integration Calculus F(x)

05/10/16

I know the two endpoints on a curve and I know the area under the curve but I do not know the function of the curve. How can I find the function of the curve?
The integral from 0 to 27 of f(x)dx is 0.46896. I need to know what the function for f(x) is. The two endpoints of the curve are (0,0) and (27,0.2894).
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05/06/16

A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).?
A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).? PDF being Probability Density Function A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).?
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Integration Calculus

05/02/16

Calculus Integration Problem 2
A stone is dropped from the edge of a roof, and hits the ground with a velocity of −180 feet per second. Assume the acceleration due to gravity is -32 feet per second squared. How high (in feet) is... more
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Integration Calculus

05/02/16

Calculus Integration Problem
A stone is thrown straight down from the edge of a roof, 900 ft above the ground, at a speed of 7 ft/sec.   A. Given that the acceleration due to gravity is -32 ft/sec2, how high is the stone 2... more
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05/01/16

Set up an intefral for the length of the curve.
y=3cos(x), 0≤x≤pi
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Integration Integral Calculus

04/30/16

Finding the integral
Let F(x) = ∫eu^2 + cos(u) du   with upper limit = 7x, lowerlimit = 0 Compute F'(0)   I have no idea how to approach this question the 7x in the upper limit is quite off putting
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Integration Math Calculus Math Help

04/28/16

Integration question involving cosh^-1???
Evaluate the integral (1/sqrt(x^2 - 5))dx on limits of 3 to 4, using the formula: integral of (1/sqrt(x^2 - a^2))dx. Recall that this formula was found by using the substitution x = a cosh t, and... more
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Integration

04/27/16

integral of dx/(50-10x)
If ∫dx/(50-10x)=1/10∫dx/(5-x)    ∫dx/(50-10x)   u=50-10x du=-10dx  dx=du/-10  -1/10∫du/u=-1/10ln[50-10x]+c   1/10∫dx/(5-x)     u=5-x  du=-1dx dx=-du -1/10∫du/u=-1/10ln[5-x]+c   If the... more
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04/23/16

integration
show that ∫dx/(2+3sinx) [upper limit pi/2, lower limit 0] = ∫dt/((t+ 3/2)2 - (√5/2)2) [ upper limit 1, lower limit 0]     I know that sin(x) = 2t/(t2+1), where t = tan(x/2) but i cannot get the... more
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Integration Substitution Method

04/22/16

Integration by Substitution
Find using substitution:   ∫ 1/[x(1+lnx)2] dx   I'm not sure what substitution to use. 
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04/22/16

PROFIT FUNCTION IN CALC
I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more
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04/22/16

Indefinite Integral
Can someone help me solve for this indefinite integral?:   (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3)   Thank you!
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04/21/16

Indefinite/Definite Integrals
I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones:First problem:... more
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