`Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r ex in (0,pi/2),` then find the value of `f(1/(sqrt(3)))dot`

If int_(sinx)^(1)t^(2)f(t)dt=1-sinx, xepsilon(0,(pi)/2) then find the value of f(1/(sqrt(3)))

If int_(cos x)^(1)t^(2)f(t)dt=1-cos x AA x in(0,(pi)/(2)) then the value of [f((sqrt(3))/(4))] is

If int_(sinx)^(1) t^(2)f(t)dt=1-sinx " for all " x in [0,pi//2] , then f((1)/(sqrt(3)))=

If int_(sinx)^1 t^2f(t)dt=1-sinx , then the value of f(1/sqrt(3)) is (A) 1/sqrt(3) (B) 1/3 (C) sqrt(3) (D) 3

f(x)=int_(1)^(x)(tan^(-1)(t))/(t)dt,x in R^(+), then find the value of f(e^(2))-f((1)/(e^(2)))

If int_(0) ^(x) f (t) dt = x + int _(x ) ^(1) t f (t) dt, then the value of f (1) , is

If f(sinx)-f(-sinx)=x^(2)-1 is defined for all x in R , then the value of x^(2)-2 can be

If int_(0)^(1)(e^(t))/(1+t)dt=a, then find the value of int_(0)^(1)(e^(t))/((1+t)^(2))dt in terms of a