 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says, find an anti-derivative or integral of the following by the method of inspection e raised to part 2x. Let us start with the solution to this question. We consider d by dx of e raised to part 2x that will be 2 into e raised to part 2x because derivative of e raised to part 2x will be e raised to part 2x multiplied by the derivative of 2x that will be 2. We can say that e raised to part 2x is equal to 1 by 2 into d by dx of e raised to part 2x. This implies e raised to part 2x is equal to d by dx of 1 by 2 into e raised to part 2x. Hence an anti-derivative of e raised to part 2x is 1 by 2 e raised to part 2x. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.