Let . Find .

Differentiate .

Differentiate using the chain rule, which states that is where and .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

By the Sum Rule, the derivative of with respect to is .

Since is constant with respect to , the derivative of with respect to is .

Add and .

Since is constant with respect to , the derivative of with respect to is .

Move to the left of .

Rewrite as .

Differentiate using the Power Rule which states that is where .

Multiply by .

Rewrite the problem using and .

Since is constant with respect to , move out of the integral.

Replace all occurrences of with .

Evaluate integral of sec(1-x)tan(1-x) with respect to x