If `F(x)= e^sin x` then `F(0)=`

If F(x)=x sin x , then F'(0)=

If f(x) = sin x then int(e^(f(x))(xcos^(3)x-f(x)))/(1-(f(x))^(2))dx is equal to

Let F(x)=(1)/(2)int(sin x+cos x)/(e^(-x)+sin x)dx and F(0)=1 then F(x) is

If f(x)=e^(x) sin x, x in [0, pi] , then

If f(x)=ln(sin x) and g(x)=sin^(-1)(e^(-x)) for all x in(0,pi) and f(g(alpha))=b and (f(g(x))' at x=alpha is a then which is true.

If f(x)=sin x and g(x)=f(f(f,.....(f(x)))) then value of g'(0)+g''(0)+g'''(0) equals

If f(x) is continuous at x=0 , where f(x)=(sin (a+x)-sin (a-x))/(tan (a+x)-tan (a-x)), x != 0 , then f(0)=

If for a continuous function f,f(0)=f(1)=0,f'(1)=2 and g(x)=f(e^(x))e^(f(x)) then g'(0)=

If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is