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.