Find `int_0^(pi/2) (cos^3x dx)`

Evaluate the following definite integral: int_0^(pi//2)cos^3x\ dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) cos^2x dx

Evaluate the definite integrals int_0^(pi/2)(cos^2x dx)/(cos^2x+4sin^2x)

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

Evaluate: int_(0)^(pi//2) cos2x dx

u=int_0^(pi/2)cos((2pi)/3sin^2x)dx and v=int_0^(pi/2) cos(pi/3 sinx) dx

Evaluate int_(0)^(pi//2) (cos^2 x)/(1+sin x cos x)dx .

If I_I=int_0^(pi//2)cos(sinx)dx ,I_2=int_0^(pi/2)sin(cosx)dx \ ,a n d \ I_3=int_0^(pi/2)cosx dx , then find the order in which the values I_1,I_2,I_3, exist.

Evaluate the following integral: int_0^(pi//2)(cos^2x)dx