General Integration Rules

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Below are the general Integration Rules. Remember that § denotes the integral sign, which was stated on the Section 3 page. Also, k is a constant and C is the indefinite integral constant.

General Integration Rules

§ 0 dx = C

§ k dx = kx + C

§ kf(x)dx = k § f(x) dx

§ [f(x) ± g(x)] dx = § f(x) dx ± § g(x) dx

§ xn dx = (xn + 1) / (n+1) + C      n cannot = -1

§ cos x dx = sin x + C

§ sin x dx = -cos x + C

§ (sec x)2 dx = tan x + C

§ sec x tan x dx = sec x + C

§ (csc x)2 x dx = -cot x + C

§ csc x cot x dx = -csc x + C