The function is .

Apply derivative on each side with respect to .

From the fundamental theorem of calculus part 1:

If  is continuous on , then the function  defined by  is continuous on  and differentiable on  , and  .

.

Therefore the derivative function is always positive.

Thus, the function is strictly monotonic and it is an one to one function.

Find .

From theorem 5.9 :

.

Equate  to .

Integral property: .

From the above property we will get .

Therefore, .

.

Consider .

Substitute  in .

.

.