Help with Indefinite integrals.

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Homework Help Overview

The discussion revolves around indefinite integrals, specifically involving trigonometric functions and substitution methods.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various substitution methods for solving the integrals, including attempts with different variables such as u=cos(x) and u=1+cos^2(x). Questions arise about the effectiveness of these substitutions and whether they lead to the desired results.

Discussion Status

Some participants have shared their experiences with different substitution attempts, noting successes and challenges. There is an ongoing exploration of methods, with no explicit consensus reached on the best approach for the second integral.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the types of assistance they can receive. There is also a mention of getting stuck at certain points in the problem-solving process.

master1425
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Homework Statement


[tex]\int sinx/(1+cos^{2}x)dx[/tex]


Can anyone help me with this problem?
 
Last edited:
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Did you try substituting u=cos(x) as a first step??
 
Ah ok, that was my biggest problem. I tried substituting u=1+cos^2x and u=sinx. But neither yielded the result I wanted.

So I will try using just u=cosx and see how that works for me.
 
Ok, I got that one finally.

How about this one?

[tex]\int x^{2}sinx/1+x^{6} dx[/tex]

I tried u=sinx, but got stuck. Is that what I need to use? Any help would be appreciated.
 

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