Integrate 2x^2 + 4
When we integrate, we raise the power by one and divide the term by the new power. So let's break the question down term by term. When integrating 2x2 we raise the power by 1 to get 2x3 . We then divide 2x3 by 3 (the new power) to get 2x3/3. When integrating 4, we raise the power by 1. 4 can be rewritten as 4x0, so if we raise the power by 1, we get 4x1. If we then divide by 1 (the new power), we get 4x. We must remember to add on the integrating factor 'c' at the end. Therefore if we integrate 2x2 + 4, we get 2x3/3 + 4x + c. Note: a good way to check this answer is by differentiating your answer, and you should get 2x2 + 4.
