Integration
| \(\int \sin (ax + b) \: dx\) | \(- \dfrac 1a \:.\: \cos (ax + b) + c\) |
| \(\int \cos (ax + b) \: dx\) | \(\dfrac 1a \:.\: \sin (ax + b) + c\) |
| \(\int \sec^2 (ax + b) \: dx\) | \(\dfrac 1a \:.\: \tan (ax + b) + c\) |
| \(\int \dfrac {1}{ax + b} \: dx\) | \(\dfrac 1a \:.\: \ln | ax + b | + c\) |
| \(\int e^{ax + b} \: dx\) | \(\dfrac 1a \:.\: e^{ax + b} + c\) |
| \(\int \dfrac {1}{x^2 + a^2} \: dx\) | \(\dfrac 1a \:.\: \tan^{-1} \: \left(\dfrac xa \right) + c\) |
Exercise