int(1)/(sin u+2sin n cos n+5cos delta n)dx

int (cos n-sin n)/(cos n+sin n)dn

Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B )/( cos A - cos B )) ^(n) ={{:(2 cot ^(n) ((A- B)/(2)),"," "if n is even."),(0,",""if n is odd."):}.

If I_(n) = int_(0)^(n) ( 1- sin 2nx)/( 1-cos 2n)dx then I_(1) , I_(2) , I_(3),"........" are in :

Evaluate the following integrals: int_0^(pi//2)(sin^n x)/(sin^n x+cos^n x)dx

Evaluate int(x^(2)+n(n-1))/((x sin x + n cos x)^(2))dx .

Evaluate int(x^(2)+n(n-1))/((x sin x + n cos x)^(2))dx .

Evaluate int(x^(2)+n(n-1))/((x sin x + n cos x)^(2))dx .

Evaluate the following integrals: (1-35) int_0^(pi//2)(sin^n x)/(sin^n+cos^n x)dx

Prove the following: sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x