`int(dx)/((2x-3)^(2))`

Evaluate: int(dx)/((x^(2)+3x+2)(sqrt(x+4))

Evaluate the following indefinite integrals. (a) int(dx)/(sqrt(x)) (b) int(dx)/((2x+3)) (c) intsin(2pix+30^(@))dx (d) intsinxcosxdx (e) int(3x^(3)-5x^(2)+2)dx (f) int(2e^(-x//3)dx

(1) int(2x+3)/((x-1)(x-2))dx

(1) int(2x+3)/((x-1)(x-2))dx

If int (dx)/((x^(2)+a^(2))^(3))=(x)/(4a^(2)(x^(2)+a^(2)))+(m)/(na^(2)){(x)/(2a^(2)(x^(2)+a^(2)))+(1)/(2a^(3))tan^(-1)(x/a)}+C, then |m-n| is equal to

int(dx)/((x-b)^3(x-a)^2)

Evaluate: int(dx)/(x^(2/3)(1+x^(2/3)))

Evaluate: int(dx)/(x^(2/3)(1+x^(2/3)))

int(dx)/sqrt(2-3x-x^(2))=

Evaluate: int(dx)/((a^2+x^2)^(3/2))