" 41.If "f(x)={[e^(cos x)sin x," for "|x|<=2],[2," otherwise "]" then "int_(-2)^(3)f(x)dx" is equal to "

If f(x)={e^(cos x)sin x for |x|<=2) and 2, other wise,Then int_(-2)^(3)f(x)dx=0

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

The range of f(x)=cos x-sin x is

If f(x) = e^(x) sin x , then f^((6)) (x) is equal to