Tính nguyên hàm

T

trantien.hocmai

$\int_{\frac{\pi}{2}}^{\pi} \frac{xdx}{cosx-1}$
ta tính nguyên hàm
$\int \frac{xdx}{-2sin^2 \frac{x}{2}}=-\frac{1}{2} \int \frac{xdx}{sin^2 \frac{x}{2}}$
đặt
$u=x ->du=dx$
$dv=\frac{dx}{sin^2 \frac{x}{2}}$
$-> v=-2cot \frac{x}{2}$
 
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