Friday, 15 August 2014

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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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...