Integral calculus formulas list

\[ \int a dx = ax + C \\~\\ \int x^n dx = \frac{ x^{n+1} }{ n+1 } + C \\~\\ \int \textnormal{sin}(x) dx = -\textnormal{cos}(x) + C \\~\\ \int \textnormal{cos}(x) dx = \textnormal{sin}(x) + C \\~\\ \int \textnormal{tan}(x) dx = -\textnormal{log}|\textnormal{cos}(x)| + C \\~\\ \int e^x dx = e^x + C \\~\\ \int a^x dx = \frac{a^x}{ \textnormal{log}(a) } + C \\~\\ \int \frac{1}{x} dx = \textnormal{log}(x) + C \\~\\ \int \frac{1}{1+x^2} dx = \textnormal{arctan}(x) + C \\~\\ \int \frac{1}{a^2+x^2} dx = \frac{1}{a} \textnormal{arctan} \left(\frac{x}{a}\right) + C \\~\\ \int \textnormal{sinh}(x) dx = \textnormal{cosh}(x) + C \\~\\ \int \textnormal{cosh}(x) dx = \textnormal{sinh}(x) + C \\~\\ \int \textnormal{tanh}(x) dx = \textnormal{log}(\textnormal{cosh}(x)) + C \]

Calculus formula

Formula