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INDEFINITE INTEGRALS | METHOD OF INTEGRA...

INDEFINITE INTEGRALS | METHOD OF INTEGRATION | By substitution: Theorem: If `int f(x) dx = phi(x)` then `int f(ax+b) dx = 1/a phi(ax + b)dx`, Examples: `1/ (cos3x+1) dx` and `1/((sqrt (x+a) + sqrt (x+b))) dx`, Integral of form `p(x) / (ax+b) ^n` (Algo/Method), Example: `int ((x-1)/(x+1))^4 dx`, Integral of form `(ax+b) sqrt(cx+d)dx` or `(ax+b) /sqrt(cx+d)dx` (Algo/Method), Example: `int (7x-2) sqrt(3x+2)dx`, Integral of `sin^m x or cos^m x (m<=4)`, Example: `sin^3x dx`

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