Indefinite Integration: quiz

Integration by parts (ILATE)

Cyclic integration by parts: e^x sin x

Partial fractions: distinct linear factors

Partial fractions: repeated linear factor

Irreducible quadratic factor

Reduction formula: sin^n x

∫ dx/(ax²+bx+c): discriminant cases

∫ dx/√(ax²+bx+c) and √(a²−x²) forms

Power rule (n ≠ −1)

Reciprocal integral

Exponential integrals

Basic trigonometric antiderivatives

∫ sec x tan x and ∫ csc x cot x

∫cosec x cot x dx = −cosec x + C

∫cosec x dx = ln|cosec x − cot x| + C

Integration by substitution

∫ tan x dx and ∫ cot x dx