`int_(0)^(2pi)cos^(5)xdx`

int_(0)^( pi)cos^(5)xdx

Examples: int_(0)^(2 pi)cos^(5)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2 pi)cos^(5)xdx

int_(0)^(2 pi)cos^(5)xdx=

int_(0)^(pi)cos^(5)xdx=0

int_(0)^(2 pi)cos^(7)xdx

int_(0)^(2 pi)cos^(4)xdx

(1) int_(0)^( 2pi)cos^(7)xdx

Evaluate: I=int_(0)^(2 pi)x*cos^(5)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)