`intcosx/sin^2x(1-3cos^3x)dx`

Evaluate: int(sin2x(1-3/2cosx))/e^(sin^2x+cos^3x)dx

Evaluate: int(cos^3x)/(sin^2x+sinx)dx

Evaluate: int(cos^3x)/(sin^2x+sinx)dx

intcosx/(1+9sin^2x)dx

Evaluate : int_(0)^(pi/2)(sin^2x-cos^2x)/(sin^3x+cos^3x)dx

intcosx/sqrt(sin^2x+3sinx+4)dx

Evaluate: (i) int(sin^3x-cos^3x)/(sin^2xcos^2x)\ dx (ii) int(5cos^3x+6sin^3x)/(2sin^2xcos^2x)\ dx

Evaluate the following integrals: int_0^(pi//4)(sin^2xcos^2x)/((sin^3x+cos^3x)^2)dx

intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos^(3/2)x)+C (b) 3/2sin^(-1)(cos^(3/2)x)+C (c) 2/3cos^(-1)(cos^(3/2)x)+C (d) none of these

int(5cos^3x+7sin^3x)/(3sin^2xcos^2x)dx