Let `(d)/(dx )F(x) =((e ^(sin x ))/(x )), x gt 0 If int_(1 )^(4) (3)/(x) e ^(sin x ^(3)) dx =F(k) -F(1),` then one of the possible values of k, is:

Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0 , If int_(1)^(4) (3)/(x) e^(sin x^(3))dx=F(k)-F(1) , then one of the possible value of k is -

Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int_1^4 3/x e^sin (x^3)dx=F(k)-F(1), then one of the possible values of k , is: (a) 15 (b) 16 (c) 63 (d) 64

Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int_1^4 3/x e^sin x^3dx=F(k)-F(1), then one of the possible values of k , is: 15 (b) 16 (c) 63 (d) 64

Let d/(dx) (F(x))= e^(sinx)/x, x>0 . If int_1^4 2e^sin(x^2)/x dx = F(k)-F(1) , then possible value of k is:

If d/dx (ϕ(x))=f(x) , then int_(1)^(2) f(x) dx is ______

If= int_(0)^(pi//2) sin x . log (sin x ) dx = log ((K)/(e)). Then, the value of K is ….

f(x) = sin^(-1)(sin x) then (d)/(dx)f(x) at x = (7pi)/(2) is

(d)/(dx) (AC)= f(x) (MC-AC) , then f(x)= (i) (1)/(x) (ii) x (iii) x^(-2) (iv) -x^(-1)

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

Let F : R to R be a thrice differentiable function . Suppose that F(1)=0,F(3)=-4 and F(x) lt 0 for all x in (1,3) . f(x) = x F(x) for all x inR . If int_(1)^(3)x^(2)F'(x)dx=-12 andint_(1)^(3)x^(3)F'' (x)dx =40 , then the correct expression (s) is //are