Integreerimiseks nimetatakse funktsiooni algfunktsiooni leidmist.
| Funktsioon | Integraal |
|---|---|
| $$\int 0dx$$ | $$C$$ |
| $$\int 1dx$$ | $$x+C$$ |
| $$\int adx$$ | $$ax+C$$ |
| $$\int xdx$$ | $$\frac{x^{2}}{2}+C$$ |
| $$\int x^{2}dx$$ | $$\frac{x^{3}}{3}+C$$ |
| $$\int x^{n}dx$$ | $$\frac{x^{n+1}}{n+1}+C$$ |
| $$\int \frac{1}{x}dx$$ | $$\ln\left | x \right |+C$$ |
| $$\int \frac{1}{\sqrt{x}}dx$$ | $$2\sqrt{x}+C$$ |
| $$\int a^{x}dx, \textrm {kus}\;$$ $$a>0\;\textrm {ja}\;a\neq 1$$ | $$\frac{a^{x}}{\ln a}+C$$ |
| $$\int \sin xdx$$ | $$-\cos x+C$$ |
| $$\int \cos xdx$$ | $$\sin x+C$$ | $$\int \tan xdx$$ | $$-\ln\left | \cos x \right |+C$$ |
| $$\int \cot xdx$$ | $$\ln\left | \sin x \right |+C$$ |
| $$\int \frac{1}{\cos^{2} x}dx$$ | $$\tan x+C$$ |
| $$\int \frac{1}{\sin^{2} x}dx$$ | $$-\cot x+C$$ |
| $$\int \frac{1}{\sqrt{1-x^{2}}}dx$$ | $$\arcsin x + C$$ |
| $$\int -\frac{1}{\sqrt{1-x^{2}}}dx$$ | $$\arccos x + C$$ |
| $$\int \frac{1}{1+x^{2}}dx$$ | $$\arctan x + C$$ |
| $$\int -\frac{1}{1+x^{2}}dx$$ | $$\textrm{arccot}\,x + C$$ |