x cos x^(2)

If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n gt 1 then f^(1)(pi/2) is

"int e^(sin x)((x cos^(2)x-sin x)/(cos^(2)x))dx

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)x) is ____________

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

6tan^(2)x-2cos^(2)x=cos2x if cos2x=

Prove that sin x=2^(10) sin((x)/(2^(10))) cos (x/2) cos (x/2^(2))......cos((x)/(2^(10))) .

If maximum and minimum values of the determinant |{:(1 + cos^(2)x , sin^(2) x, cos 2x),(cos^(2) x , 1 + sin^(2)x, cos 2x),(cos^(2) x , sin^(2) x , 1 + cos 2 x):}| are alpha and beta then

Evaluate the integerals. int (sin x cos x)/(cos ^(2)x +3 cos x+2)dx.

int (sin x.cos x)/(cos^(2) x + 3 cos x + 2) dx =