# Calculus/Further Methods of Integration/Contents

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< Calculus

## Review[edit]

### Basic Integration Rules[edit]

### Partial Integration[edit]

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

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

**L**ogarithmic**I**nverse Trigonometric**P**olynomial**E**xponential**T**rigonometric

### Improper Integrals[edit]

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*]:

= (1)

= (2)

= (3)