Integrál táblázat

\int x^{n} d x = \frac{x^{n + 1}}{n + 1} + C, n \neq - 1

\int \frac{1}{x} d x = l n | x | + C

\int e^{x} d x = e^{x} + C

\int a^{x} d x = \frac{a^{x}}{l n a} + C

\int c o s x d x = s i n x + C

\int s i n x d x = - c o s x + C

\int t g x d x = - l n | c o s x | + C

\int c t g x d x = l n | s i n x | + C

\int \frac{1}{c o s^{2} x} d x = t g x + C

\int \frac{1}{s i n^{2} x} d x = - c t g x + C

\int \frac{1}{1 + x^{2}} d x = a r c t g x + C

\int \frac{1}{\sqrt{1 - x^{2}}} d x = a r c s i n x + C

\int s h x d x = c h x + C

\int c h x d x = s h x + C

\int \frac{1}{\sqrt{x^{2} + 1}} d x = a r s h x + C

\int \frac{1}{\sqrt{x^{2} - 1}} d x = a r c h x + C

\int \frac{1}{c h^{2} x} d x = t h x + C

\int \frac{1}{s h^{2} x} d x = - c t h x + C

Kulcsszavak: integrál táblázat, alapintegrálok, alapintegrálok táblázata