If `f(x)=x^(5)+5x-1` then `int_(5)^(41)(dx)/((f^(-1)(x))^(5)+5f^(-1)(x))` equals

If f(x)=f(2-x) then int_(0.5)^(1.5)xf(x)dx=

If f(x)=f(2-x) then int_(0. 5)^1.5 xf(x)dx=

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If f(x)=5^(x) , then f^(-1)(x) is :

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s 2f^(-1)(x)-5 (b) 1/(2f^(-1)(x)+5) 1/2f^(-1)(x)+5 (d) f^(-1)((x-5)/2)

Let f be a strictly increasing and continuous function in [1,5] such that f(1)=0,f(5)=10 If int_(1)^(5)f(x)dx=7, then int_(0)^(10)f^(-1)(x)dx equals:

If f (6-x ) =f (x), for all then 1/5 int _(2)^(3) x [f (x) + f (x+1)]dx is equal to :