Tính nguyên hàm

T

trantien.hocmai

∫π2πxdxcosx−1\int_{\frac{\pi}{2}}^{\pi} \frac{xdx}{cosx-1}
ta tính nguyên hàm
∫xdx−2sin2x2=−12∫xdxsin2x2\int \frac{xdx}{-2sin^2 \frac{x}{2}}=-\frac{1}{2} \int \frac{xdx}{sin^2 \frac{x}{2}}
đặt
u=x−>du=dxu=x ->du=dx
dv=dxsin2x2dv=\frac{dx}{sin^2 \frac{x}{2}}
−>v=−2cotx2-> v=-2cot \frac{x}{2}
 
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