∫f′(x)dxf(x)=lnf(x)\int \frac{f^{\prime}(x) d x}{f(x)}=\ln f(x)∫f(x)f′(x)dx=lnf(x)
∫12f′(x)dx{f(x)}={f(x)}\int \frac{\frac{1}{2} f^{\prime}(x) d x}{\sqrt{\{f(x)\}}}=\sqrt{\{f(x)\}}∫{f(x)}21f′(x)dx={f(x)}
∫dxa2−x2=sin−1xa\int \frac{\mathrm{dx}}{\sqrt{\mathrm{a}^{2}-\mathrm{x}^{2}}}=\sin ^{-1} \frac{\mathrm{x}}{\mathrm{a}}∫a2−x2dx=sin−1ax
সবগুলো