Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Integral

Please

How many ways are there to do this integral?

calculusstudent

Guest

Re: Integral

Okay, here is the simplest way to do it.
due to rules of equality of trig functions,

(cotx)^2= (cscx)^2 - 1. so, you can separate the integral into the integral of csc^2 x and the integral of -1. a given is also that the integral of csc^2 x is - cotx + C. put this together with the integral of -1, and you get -cotx + x + C.
any other ways will make it very complicated, but i'm sure that you can get there by breaking it down into sine and cosine, or even tangent.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Integral

Hi calculusstudent

I'm getting  -x - cot(x) + c instead of your x - cot(x) +c

Last edited by bobbym (2009-05-19 17:24:05)

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