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 int_(-1)^(1)f(x)dx=0 then

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

Let f be a one to one continuous function such that f(2)=3 and f(5)=6 . Given int_(2)^(5)f(x)dx=17 , then find the value of int_(3)^(7)f^(-1)(x)dx .

Let f and g be continuous functions on [ 0 , a] such that f(x)=f(x)=f(a-x)andg(x)+g(a-x)=4 , then int_(0)^(a) f(x)g(x) dx is equal to

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

If f(x) is a continuous function such that f(x)|0,AA x in[2,10] and int_(4)^(8)f(x)dx=0 then find

Let f be a one-to-one continuous function such that f(2)=3 and f(5)=7. Given int_(2)^(5)f(x)dx=17 then find the value of int_(3)^(7)f^(-1)(x)dx

if f(x)=|x-1| then int_(0)^(2)f(x)dx is

Let f (x) be a conitnuous function defined on [0,a] such that f(a-x)=f(x)"for all" x in [ 0,a] . If int_(0)^(a//2) f(x) dx=alpha, then int _(0)^(a) f(x) dx is equal to

Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b, "then " int_(0)^(a) f(x) dx +int_(0)^(b) f^(-1) (x) dx is equal to