Integration

Integration from 0 to π cos6x cos^8x

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...

integration

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

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

siny dx √(cos³xcos(x-y))

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

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...

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?

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).

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).?

May 6 | Austin from Marietta, GA | 1 Answer | 0 Votes

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...

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...

Set up an intefral for the length of the curve.

y=3cos(x), 0≤x≤pi

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...

Apr 30 | Claire from Beverly Hills, CA | 2 Answers | 0 Votes

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,...

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)    ...

Apr 27 | Wally from Chicago, IL | 1 Answer | 0 Votes

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),...

Apr 23 | Claire from Beverly Hills, CA | 1 Answer | 0 Votes

Integration by Substitution

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

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...

Indefinite Integral

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

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:...