(9) `int(4-5x)(3-x)^(-(3)/(2))dx`

Evaluate the following : (i) int(x+2)/((x+3)(x+4)^((3)/(2))dx (ii) int((x+3)/(2x+5))^((1)/(2))*(1)/(x)dx

int_(-4)^(5)(x-x^(3))dx is

int((x-4)^(3))/(x^(2))dx

(i) int ((1+x)^(3))/(sqrt(x))dx " "(ii) int((1+x)^(3))/(x^(4)) dx

int(x^(2))/((x^(3) +4)^(3))dx

int1/(x^2(x^4+1)^(3/4)) dx

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

Evaluate the following definite integrals. (a) int_(0)^(3)(x^(2)+1)dx (b) int_(2)^(3)(x^(3)-4x^(2)+5x-10)dx (c) int_(0)^(pi//4)(cosx-sinx)dx

int(4x-3)/(3x^2+2x-5)dx

Evaluate: (i) int1/(x^2(x^4+1)^(3//4))\ dx (ii) int(sin^5x)/(cos^4x)\ dx