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, .

Substitute  in .

Consider .

Substitute  in .

.

.