`int cos^5xsin^2x`dx

Evaluate: int(cos^5x)/(sinx)dx

if int(1-5sin^2x)/(cos^5xsin^2x)dx=f(x)/(cos^5x)+c then f(x)

Evaluate : (i) int (cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos^2x)dx

Evaluate: int(cos2xsin4x dx)/(cos^4x(1+cos^2 2x)

Evaluate: inte^xsin^2x\ dx

Evaluate int xsin^(2)x dx

IfI_1=int_0^(pi/2)(cos^2x)/(1+cos^2x)dx ,I_2=int_0^(pi/2)(sin^2x)/(1+sin^2x)dx I_3=int_0^(pi/2)(1+2cos^2xsin^2x)/(4+2cos^2xsin^2x)dx ,t h e n I_1=I_2> I_3 (b) I_3> I_1=I_2 I_1=I_2=I_3 (d) none of these

If I_1=int_0^(pi//2)(cos^2x)/(1+cos^2x)dx , I_2=int_0^(pi//2)(sin^2x)/(1+sin^2x)dx and I_3=int_0^(pi//2)(1+2cos^2xsin^2x)/(4+2cos^2xsin^2x)dx , then (a) I_1=I_2 > I_3 (b) I_3> I_1=I_2 (c) I_1=I_2=I_3 (d) none of these

Evaluate: inttan^2xsin^2x dx

Evaluate: int(cos^5x)/(sinx)\ dx