Calculus/Further Methods of Integration/Contents

Review

Basic Integration Rules

See Calculus/Definite integral.

Partial Integration

See Calculus/Integration techniques/Integration by Parts.

For two functions $u$ and $dv$ of a variable $x$ ,

where $u$ is chosen by precedence according to LIPET:

• Logarithmic
• Inverse Trigonometric
• Polynomial
• Exponential
• Trigonometric

Improper Integrals

See Calculus/Improper Integrals.

For any function $f$ of variable $x$ , continuous on the given infinite domain:

For any function $f$ of variable $x$ continuous on the given interval, but with an infinite discontinuity at (1) $a$ , (2) $b$ , or some (3) $c\in [a,b]$ :