`int_(0)^((pi)/(2))sin^(2)xdx`

The value of lim_(x rarr oo)(int_(0)^((pi)/(2))sin^(2m)xdx)/(int_(0)^((pi)/(2))sin^(2m+1)xdx) is equal to

Find the reduction formula for int_(0)^((pi)/(2))sin^(n)xdx

Prove that int_(0)^((pi)/(2))sin^(3)xdx=(2)/(3)

int_(0)^((pi)/(2))sin^(2)x cos^(3)xdx=

int_(0)^((pi)/(2))sin^(2)x cos^(5)xdx equals (A)(16)/(105) (B) (8)/(105) (C) ((16)/(105))pi(D)((8)/(105))pi

E valuate the integration int_(0)^((pi)/(2))sin^(3)x cos^(2)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(sin(3)/(2)xdx)/(sin^((3)/(2))+cos^((3)/(2))x)

Integrate from the first principles int_(0)^((pi)/(2))sin xdx

Evaluate the definite integrals int_(0)^((pi)/(4))sin2xdx

int_(0)^((pi)/(2))x^(2)sin xdx