Let . Find .

Differentiate .

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

Differentiate using the Power Rule which states that is where .

Multiply by .

Rewrite the problem using and .

Multiply by the reciprocal of the fraction to divide by .

Multiply by .

Move to the left of .

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

The integral of with respect to is .

Simplify.

Replace all occurrences of with .

Evaluate integral of e^(1/2x) with respect to x