If `g(x)` is the inverse of `f(x) and f(x)` has domain `x in [1,5]`, where `f(1)=2 and f(5) = 10` then the values of `int_1^5 f(x)dx+int_2^10 g(y) dy` equals

If g(x) is the inverse of f(x) and f(x) has domain x in[2,7] where f(2)=3 and f(7)= 13 , then the value of (1)/(17)(int_(2)^(7)f(x)dx+int_(3)^(13)g(y)dy) is equal to

f:[0,5]rarrR,y=f(x) such that f''(x)=f''(5-x)AAx in [0,5] f'(0)=1 and f'(5)=7 , then the value of int_(1)^(4)f'(x)dx is

f:[0,5]rarrR,y=f(x) such that f''(x)=f''(5-x)AAx in [0,5] f'(0)=1 and f'(5)=7 , then the value of int_(1)^(4)f'(x)dx is

If g is the inverse of a function f and f(x)=1/(1+x^5) , Then g'(x) i equal to :

If g is the inverse of a function f and f'(x) = 1/(1+x^(5)) , then g'(x) is equal to

If g is the inverse of a function f and f'(x) = 1/(1+x^(5)) , then g'(x) is equal to