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0-pi-2-xsin-x-1-cosx-log-1-cosx-dx-




Question Number 138810 by mathdanisur last updated on 18/Apr/21
∫_( 0) ^( π/2) ((xsin(x))/(1−cosx))∙log(1+cosx)dx=?
$$\underset{\:\mathrm{0}} {\overset{\:\pi/\mathrm{2}} {\int}}\frac{{xsin}\left({x}\right)}{\mathrm{1}−{cosx}}\centerdot{log}\left(\mathrm{1}+{cosx}\right){dx}=? \\ $$
Answered by phanphuoc last updated on 18/Apr/21
u=x,dv=ln(1+cosx)dcosx/(1−cosx)
$${u}={x},{dv}={ln}\left(\mathrm{1}+{cosx}\right){dcosx}/\left(\mathrm{1}−{cosx}\right) \\ $$
Commented by mathdanisur last updated on 18/Apr/21
Sir, the exact solution
$${Sir},\:{the}\:{exact}\:{solution} \\ $$
Commented by mathdanisur last updated on 21/Apr/21
please sir continued
$${please}\:{sir}\:{continued} \\ $$

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