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

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

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

Show that, int_(0)^(pi)sin^(4)xdx=2int_(0)^((pi)/(2))sin^(4)xdx , hence, find the value of int_(0)^(pi)sin^(4)xdx .

Show that, int_(0)^(pi)sin^(3)xdx=2int_(0)^((pi)/(2))sin^(3)xdx and hence, find the value of int_(0)^(pi)sin^(3)xdx .

int_(0)^((pi)/(2))sin^(3)xdx

Evaluate int_(0)^((pi)/(4))sin^(2)2xdx

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

Evaluate the definite integral int_(0)^((pi)/(4))2sin2xdx

int_(0)^((3pi)/(4))sin^(2)xcos^(2)xdx