If `int f(x) dx = 2 cos sqrt(x) + c`, then f(x) =

If int f(x)dx=-2cot(sqrt(x))+c ,then f(x) is equal to ?

If f(x)= int_(1/x^2)^(x^2)cos sqrt(t)dt , then f'(1)=

If int(dx)/((x+100)sqrt(x+99))=f(x)+C , then f(x) is

If int f(x)dx=F(x), then int x^(3)f(x^(2))dx is equal to:

If int f(x)dx=f(x), then int{f(x)}^(2)dx is equal to

If f(x)=int_(a)^(x)[f(x)]^(-1)dxand int_(a)^(1)[f(x)]^(-1)dx=sqrt(2), then f(2)=2( b) f'(2)=(1)/(2)f'(2)=2(d)int_(0)^(1)f(x)dx=sqrt(2)