`int 1/(ax+b) dx`

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int sqrt(ax+b) dx.

int cos ^ (3) (ax + b) sin (ax + b) dx

int(ax+b)^(2)dx

By substitution: Theorem: int sin(ax+b)dx=-(1)/(a)cos(ax+b)+c

Evaluate : (i) int(3x+5)^7dx (ii) int(4-9x)^(5)dx (iii) int(1)/((2-3x)^(4))dx (iv) intsqrt(ax+b)\ dx

(i) int x/(9-4x^2) dx. (ii) int (ax+b)^3 dx (iii) int (sec x)/( log (sec x+ tan x)) dx.

int sin(ax)dx

Evaluate: int(ax+b)^(3)dx

int(1)/((ax+b)^(2))dx

By substitution: Theorem: If int(ax+b)^(n)dx=((ax+b)^(n+1))/(a)(n+1)