Monday
April 21, 2014

Homework Help: Calculus

Posted by Maria on Thursday, March 15, 2007 at 2:09pm.

Hello,
I'm having trouble with this exercise. Can you help me?

Integral of (x* (csc x)^2)dx

I'm using the uv - integral v du formula. I tried with u= (csc x)^2 and used some trigonometric formulas, but the expression became too complicated, I couldn't continue working. Then I tried with u=x, but the same happened.

Thank you in advance.

You are on the right track using integration by parts. Let u = x and let dv = csc^2 x dx = (1/sin^2 x) dx
du = x
v = -cot x (You will have to prove that to yourself)
Integral u dv = uv - Integal v du
= - cot x - Integral (-cot x dx)
= - cot x + log sin x
You will have to prove that Integral of -cot x dx yourself also.

I have verified the steps and final answer with a table of integrals

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - Hello, I have some calculus homework that I can't seem to get started...
Calculus II/III - A. Find the integral of the following function. Integral of (x...
Calculus II - Integrate using integration by parts (integral) (5-x) e^3x u = 5-x...
Integral - That's the same as the integral of sin^2 x dx. Use integration by ...
calculus - We're doing indefinite integrals using the substitution rule right ...
Math(Please check) - evaluate the integral integral of 3 to 2 x/(x^2-2)^2 dx u=x...
calc - i need to find the definite integral from 0 to 2|b| of .... x divided by ...
Calculus - I have two questions, because I'm preparing for a math test on monday...
math - How do I derive the secant reduction rule? Integral (sec x)^n dx = ...
integral confusion - integral of Sec[2x]Tan[2x] i know u is sec 2x du=...

Search
Members