Saturday, May 7, 2016

calculus - Integration of $xsin^6x cos^4x$

It has been given as, $\int_0^\pi x\sin^6x\cos^4x dx$



I am able to solve $\sin^6x\cos^4x$. But there is a $x$ in between. So could you please help me out.

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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...