Let `f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot` Then the value of `|"cos"(f(pi))|` is____

"Let " f(x)=int x^(sinx)(1+xcosx*In x+sinx)dx " and " f((pi)/(2))=(pi^(2))/(4). " Then the value of " cos f(pi) " is"- .

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))

Let f(x) =sinx + 2 cos^(2)x (pi)/(4)lt=x lt= (3pi)/(4) . Then f attains its

If int(cosecx+sinx)/(cosecsecx+tansin^2x)dx=f(x) and f(pi/2)=1 then f(pi/4)

If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx , then value of (f(0)-f(pi)+(9pi)/2) is

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 f(x)=(1-cosx)/(1-sinx)," then: "f'((pi)/(2)) is

The function f(x)=(sinx)^(tan^(2)x) is not defined at x=(pi)/(2) . The value of f((pi)/(2)) such that f is continuous at x=(pi)/(2) is

xy'-y=x^2(xcosx+sinx) and if f(pi)=pi then find f''(pi/2)+f(pi/2)=