Integrals

Antiderivatives of powers, trig, exponentials, logs and the classic by-parts and substitution integrals, each checked by differentiating.

All integrals

$\int x^{2}\,dx$
$\int x^{3}\,dx$
$\int x^{4}\,dx$
$\int x^{5}\,dx$
$\int x^{6}\,dx$
$\int x^{7}\,dx$
$\int x^{8}\,dx$
$\int x^{9}\,dx$
$\int x^{10}\,dx$
$\int x^{11}\,dx$
$\int x^{12}\,dx$
$\int x^{-2}\,dx$
$\int x^{-3}\,dx$
$\int x^{-4}\,dx$
$\int x^{-5}\,dx$
$\int x^{-6}\,dx$
$\int 2 x^{1}\,dx$
$\int 2 x^{2}\,dx$
$\int 2 x^{3}\,dx$
$\int 2 x^{4}\,dx$
$\int 2 x^{5}\,dx$
$\int 2 x^{6}\,dx$
$\int 3 x^{1}\,dx$
$\int 3 x^{2}\,dx$
$\int 3 x^{3}\,dx$
$\int 3 x^{4}\,dx$
$\int 3 x^{5}\,dx$
$\int 3 x^{6}\,dx$
$\int 4 x^{1}\,dx$
$\int 4 x^{2}\,dx$
$\int 4 x^{3}\,dx$
$\int 4 x^{4}\,dx$
$\int 4 x^{5}\,dx$
$\int 4 x^{6}\,dx$
$\int 5 x^{1}\,dx$
$\int 5 x^{2}\,dx$
$\int 5 x^{3}\,dx$
$\int 5 x^{4}\,dx$
$\int 5 x^{5}\,dx$
$\int 5 x^{6}\,dx$
$\int 6 x^{1}\,dx$
$\int 6 x^{2}\,dx$
$\int 6 x^{3}\,dx$
$\int 6 x^{4}\,dx$
$\int 6 x^{5}\,dx$
$\int 6 x^{6}\,dx$
$\int 7 x^{1}\,dx$
$\int 7 x^{2}\,dx$
$\int 7 x^{3}\,dx$
$\int 7 x^{4}\,dx$
$\int 7 x^{5}\,dx$
$\int 7 x^{6}\,dx$
$\int 8 x^{1}\,dx$
$\int 8 x^{2}\,dx$
$\int 8 x^{3}\,dx$
$\int 8 x^{4}\,dx$
$\int 8 x^{5}\,dx$
$\int 8 x^{6}\,dx$
$\int 9 x^{1}\,dx$
$\int 9 x^{2}\,dx$
$\int 9 x^{3}\,dx$
$\int 9 x^{4}\,dx$
$\int 9 x^{5}\,dx$
$\int 9 x^{6}\,dx$
$\int \sin\left(2 x\right)\,dx$
$\int \cos\left(2 x\right)\,dx$
$\int e^{2 x}\,dx$
$\int e^{-2 x}\,dx$
$\int \sin\left(3 x\right)\,dx$
$\int \cos\left(3 x\right)\,dx$
$\int e^{3 x}\,dx$
$\int e^{-3 x}\,dx$
$\int \sin\left(4 x\right)\,dx$
$\int \cos\left(4 x\right)\,dx$
$\int e^{4 x}\,dx$
$\int e^{-4 x}\,dx$
$\int \sin\left(5 x\right)\,dx$
$\int \cos\left(5 x\right)\,dx$
$\int e^{5 x}\,dx$
$\int e^{-5 x}\,dx$
$\int \sin\left(6 x\right)\,dx$
$\int \cos\left(6 x\right)\,dx$
$\int e^{6 x}\,dx$
$\int e^{-6 x}\,dx$
$\int \sin\left(7 x\right)\,dx$
$\int \cos\left(7 x\right)\,dx$
$\int e^{7 x}\,dx$
$\int e^{-7 x}\,dx$
$\int \sin\left(8 x\right)\,dx$
$\int \cos\left(8 x\right)\,dx$
$\int e^{8 x}\,dx$
$\int e^{-8 x}\,dx$
$\int \sin\left(9 x\right)\,dx$
$\int \cos\left(9 x\right)\,dx$
$\int e^{9 x}\,dx$
$\int e^{-9 x}\,dx$
$\int \frac{1}{1 x + 1}\,dx$
$\int \frac{1}{1 x + 2}\,dx$
$\int \frac{1}{1 x + 3}\,dx$
$\int \frac{1}{1 x + 4}\,dx$
$\int \frac{1}{1 x + 5}\,dx$
$\int \frac{1}{2 x + 1}\,dx$
$\int \frac{1}{2 x + 2}\,dx$
$\int \frac{1}{2 x + 3}\,dx$
$\int \frac{1}{2 x + 4}\,dx$
$\int \frac{1}{2 x + 5}\,dx$
$\int \frac{1}{3 x + 1}\,dx$
$\int \frac{1}{3 x + 2}\,dx$
$\int \frac{1}{3 x + 3}\,dx$
$\int \frac{1}{3 x + 4}\,dx$
$\int \frac{1}{3 x + 5}\,dx$
$\int \frac{1}{4 x + 1}\,dx$
$\int \frac{1}{4 x + 2}\,dx$
$\int \frac{1}{4 x + 3}\,dx$
$\int \frac{1}{4 x + 4}\,dx$
$\int \frac{1}{4 x + 5}\,dx$
$\int \frac{1}{5 x + 1}\,dx$
$\int \frac{1}{5 x + 2}\,dx$
$\int \frac{1}{5 x + 3}\,dx$
$\int \frac{1}{5 x + 4}\,dx$
$\int \frac{1}{5 x + 5}\,dx$
$\int \sin\left(x\right)\,dx$
$\int \cos\left(x\right)\,dx$
$\int e^{x}\,dx$
$\int \frac{1}{x}\,dx$
$\int \sqrt{x}\,dx$
$\int \tan\left(x\right)\,dx$
$\int \frac{1}{\cos\left(x\right)^{2}}\,dx$
$\int \ln\left(x\right)\,dx$
$\int x e^{x}\,dx$
$\int x \sin\left(x\right)\,dx$
$\int x \cos\left(x\right)\,dx$
$\int x^{2} e^{x}\,dx$
$\int x \ln\left(x\right)\,dx$
$\int \frac{1}{1 + x^{2}}\,dx$
$\int \frac{1}{\sqrt{1 - x^{2}}}\,dx$
$\int \sin\left(x\right)^{2}\,dx$
$\int \cos\left(x\right)^{2}\,dx$
$\int \sin\left(x\right) \cos\left(x\right)\,dx$
$\int \frac{x}{x^{2} + 1}\,dx$
$\int x e^{x^{2}}\,dx$
$\int 2 x \cos\left(x^{2}\right)\,dx$
$\int \cosh\left(x\right)\,dx$
$\int \sinh\left(x\right)\,dx$