Solving ∫(x^7/(1+x^16)dx: Tips & Tricks

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Homework Help Overview

The problem involves evaluating the integral ∫(x^7/(1+x^16)dx, which falls under the subject area of calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use a substitution method by letting u equal 1+x^16 but expresses difficulty in progressing. Another participant questions the choice of substitution by suggesting letting u equal x^8.

Discussion Status

The discussion is ongoing, with some participants exploring different substitution strategies. There is a recognition of the complexity of the integral, and while one participant indicated they found clarity, the exploration of methods continues.

Contextual Notes

There may be constraints related to the original poster's understanding of integration techniques, as indicated by their initial confusion regarding the presence of arctan in the solution.

kevinnn
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Homework Statement


∫(x^7/(1+x^16)dx

Homework Equations





The Attempt at a Solution


I feel like it's so simple. I have tried making u equal to 1+x^16 and then trying to find some sort of chain I can use to make the equation work but no luck. When i saw that arctan was in the correct answer I was lost. Any help appreciated.
 
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Never mind. I just had to look at it for a second more.
 
And you let [itex]u= x^8[/itex]?
 
Yes.
 

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