Saturday, September 15, 2018

calculus - Integrating by splitting up trig functions

The problem is $$\int \cos^3 (x) \sin^5 (x) dx.$$



The method we've gone over in class involes splitting up the trig functions so that we can set one to U, then take du so that du matches a part of the function. But I'm struggling to find these. Any explanation is helpful.

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...