If `f(x)= int_1^(x^3)1/(1+lnt)dt"f o r xgeq1,then f^(prime)(2)=`

If F(x) = int_(x^(2))^(x^(3))(1)/(lnt) dt then find F'(e )

If F(x) = int_(x^(2))^(x^(3))(1)/(lnt) dt then find F'(e )

If f(x) = int_1^(x^(2)) tan^(-1) sqrtt dt, t gt 0 , then f^(')(1)=

If f(x) = int_1^x (1)/(2 + t^4) dt ,then

If f(x)=int_(1)^(x)(logt)(1+t+t^(2))dt AAxge1 , then prove that f(x)=f(1/x) .

If f(x)=int_(1)^(x)(logt)(1+t+t^(2))dt AAxge1 , then prove that f(x)=f(1/x) .

f(x)=int_1^x lnt/(1+t) dt , f(e)+f(1/e)=

f(x)=int_1^xlogt/(1+t+t^2)dt (xge1) then prove that f(x) =f(1/x)

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is