Question

I'm trying to find the antiderivative of (x+3)/2

How would you go about this?

The answer is (x+3)^2/4

Answer 1

lets rewrite (x+3)/2 as:
(1/2)(x+3)^1
for antiderivatives (opposite of derivative), you add 1 from the exponent:
(1/2)(x+3)^2
then, you divide the coefficient (or 1/2) by the exponent (2):
(2)(1/2)(x+3)^2
so you'll end up with
(1/4)(x+3)^2

Answer 2

opps! grammatical error
add 1 to* the exponent

Answer 3

Wow, I knew it was easier than I thought. I tried splitting them up into x/2 + 3/2 and all kinds of things. Thanks so much.