Integration Formulas

I have collected some of the most basic and important integration formulas here. These are the ones that you’ll get to use every day.

You can read it online or download the integration formulas PDF here.

$$ \int { { x }^{ n }dx=\frac { { x }^{ n+1 } }{ n+1 } +C } $$
$$ \int { { e }^{ x }dx={ e }^{ x }+C } $$
$$ \int { \frac { 1 }{ x } } dx=\ln { \left| x \right| } +C$$
$$ \int { \sin { x } dx=-\cos { x } +C } $$
$$ \int { \cos { x } dx=\sin { x } +C } $$
$$ \int { \sec ^{ 2 }{ x } } dx=\tan { x }+C$$
$$ \int { \csc ^{ 2 }{ x } } dx=-\cot { x } +C$$
$$ \int { \sec { x\tan { x } } } dx=\sec { x } +C$$
$$ \int { \csc { x } \cot { x } } dx=-\csc { x } +C$$
$$ \int { { \left( ax+b \right) }^{ n }dx=\frac { 1 }{ a } } \cdot \frac { { \left( ax+b \right) }^{ n+1 } }{ n+1 } +C$$
$$ \int { { e }^{ ax+b }dx=\frac { 1 }{ a } } \cdot { e }^{ ax+b }+C$$
$$ \int { \frac { 1 }{ ax+b } dx=\frac { 1 }{ a } } \cdot \ln { \left| ax+b \right| } +C$$
$$ \int { \sin { \left( ax+b \right) dx } } =-\frac { 1 }{ a } \cos { \left( ax+b \right) } +C$$
$$ \int { \cos { \left( ax+b \right) dx=\frac { 1 }{ a } } } \sin { \left( ax+b \right) +C } $$
$$ \int { \sec ^{ 2 }{ \left( ax+b \right) } } dx=\frac { 1 }{ a } \cdot \tan { \left( ax+b \right) +C } $$
$$ \int { \csc { \left( ax+b \right) \cot { \left( ax+b \right) dx } } } =-\frac { 1 }{ a } \cdot \csc { \left( ax+b \right) } +C$$
$$ \int { \csc ^{ 2 }{ \left( ax+b \right) } } dx=-\frac { 1 }{ a } \cdot \cot { \left( ax+b \right) +C } $$
$$ \int { \sec { \left( ax+b \right) \tan { \left( ax+b \right) } dx= } } \frac { 1 }{ a } \cdot \sec { \left( ax+b \right) +C } $$

Get useful blogging, marketing and learning resources, delivered to your mailbox. Plus, get regularly updated with extra tools & guides to help you learn, grow and earn better.

Get 17+ exclusive e-books & templates for free, to begin with. 🎁