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166 Answered Questions for the topic Integration

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
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?
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).
Integration Probability Area

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).?
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
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

05/01/16

Set up an intefral for the length of the curve.

y=3cos(x), 0≤x≤pi
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
Integration Math Calculus

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
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

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
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. 

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
Integration Calculus Integrals

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!
Integration Calculus Integrals

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
Integration

04/15/16

determine the following integrals

∫ (e2x+1)3 e2x  dx
Integration

04/15/16

determine the following integrals

∫pi     4cos2x dxpi/2
Integration

04/15/16

determine the following integrals

∫(12)/(x^2 - 9) dx
Integration

04/15/16

determine the following integrals

∫ (4x^4 - 3)/(4x) dx
Integration

04/10/16

integral 3x^3/(7x^4+8)

evaluate the following integrals  
Integration Differentiation

04/09/16

Show sin(x) is less than or equal to x

Show that sin(x)≤x for all x≥0 (hint look at the derivative of x-sin(x))
Integration

01/27/16

integral dx/sinx(a+bcosx)

I cannot solve this math.Please help me solve this. 
Integration Calculus Physics

01/25/16

Physics calculus

the initial velocity of a particle is u and the acceleration is given by a=kt, where k is a positive constant. the distance travelled in time t is
Integration Calculus 3

12/04/15

Integrate f(x,y,z)=x over the region bounded above by z=4-x^2-y^2 and below by z=x^2+3y^2

Im really stuck on this one. If anyone could tell me how to do this and the answer that would be great!   Integrate f(x,y,z)=x over the region bounded above by z=4-x^2-y^2 and below by z=x^2+3y^2
Integration Antiderivative

12/01/15

fint antiderivatives!

Find all antiderivatives of y=e^x-2x^3+1/5x

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