Indefinite Integrals

Applied Mathematics · Chapter 7 · Unit 3: Calculus

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Integration as anti-differentiation; standard integrals including (ax + b)^n, trigonometric functions, 1/x and e^x
Integrals of sin^2 x, sin^3 x, sin^4 x, cos^2 x, cos^3 x, cos^4 x
Integration by substitution; f'(x)[f(x)]^n and f'(x)/f(x) types; integrals of tan x, cot x, sec x, cosec x
Integration by parts
Integration using partial fractions: distinct linear, repeated linear and quadratic factors; improper fractions
Special integrals: dx/(x^2 +/- a^2), dx/sqrt(x^2 +/- a^2), dx/(ax^2 + bx + c), (px + q)/(ax^2 + bx + c) and related forms