`int_(0)^( pi/2)cos^(6)xdx`

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

"int_(0)^( pi/2)cos^(n)xdx

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

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

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

int_(0)^( pi)cos^(3)xdx=

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

Evaluate : int_(0)^(pi//2)cos^(9)xdx

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

I_(1)=int_(0)^((pi)/(2))(sin x-cos x)/(1+sin x cos x)dx,I_(2)=int_(0)^(2 pi)cos^(6)xdx,I_(3)=int_((pi)/(2))^((pi)/(2))sin^(3)xdx,I_(4)=int_(0)^(1)1n((1)/(x)-1)dx. Then I_(1)=I_(3)=I_(4)=0,I_(1)!=0I_(1)=I_(3)=0,I_(4)!=0I_(1)=I_(2)=0,I_(4)!=0I_(1)=I_(2)=I_(3)=0,I_(4)!=0