11. (x cos x)" + (xsin x)

If y= (xcos x) ^(x) +(xsin x)^((1)/(x)),then (dy)/(dx) =

If f(0) = 2 , and f(x) = (1-cos kx)/(x.sin x) , x != 0 , is continuous at x = 0 , then : k =

Integrate the following w.r. t. x: int frac{ cos x + xsin x}{x(x + cos x)} dx

Show that f(x) = (cos3x - cos4x)/(xsin 2x), x ne 0 , f(0) = (7)/(4) is continuous at x = 0 .

If cos x.cos y + sin x.sin y = -1 then cos x + cos y is यदि cos x.cos y + sin x.sin y = -1 हो, तो cos x + cos y का मान क्या होगा?

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

Prove that (cos 3 x)/(sin 2 xsin 4x)+(cos 5x)/(sin 4xsin 6x)+(cos 7x)/(sin 6xsin 8x)+(cos 9x)/(sin 8x sin 10x) =(1)/(2) (co sec x)[co sec2x-co sec 10x]

int e ^(xsin x +cos x )((x ^(4) cos ^(3) x-x sin x +cos x)/(x ^(2) cos ^(2) x )) dx =

int e ^(xsin x +cos x )((x ^(4) cos ^(3) x-x sin x +cos x)/(x ^(2) cos ^(2) x )) dx =

int e ^(xsin x +cos x )((x ^(4) cos ^(3) x-x sin x +cos x)/(x ^(2) cos ^(2) x )) dx =