| $f(x)$ | $\int f(x) dx$ |
| $x^a$ | $\frac{1}{a+1}x^{a+1}+C$ |
| $e^x$ | $e^x+C$ |
| $\frac{1}{x}$ | $log|x|+C$ |
| $sinx$ | $-cosx+C$ |
| $cosx$ | $sinx+C$ |
| $tanx$ | $-log|cosx|+C$ |
| $sin^{-1}x $ | $ xsin^{-1}x+\sqrt{1-x^2}+C$ |
| $cos^{-1}x $ | $ xcos^{-1}x-\sqrt{1-x^2}+C$ |
| $tan^{-1}x $ | $ xtan^{-1}x-\frac{1}{2}ln|x^2+1|+C$ |
| $\sqrt{1+x^2}$ | $ \frac{1}{2}\{x\sqrt{1+x^2}+log(x+\sqrt{1+x^2})\}+C$ |