How do you integrate ?

In order to integrate an algebraic term, such as 8x³ + 4, one must first take the power of the first term and increase this by 1, getting 8x⁴. Secondly, divide the coefficient on x by the new power, in this case 8/4. Resulting in the first term being 2x⁴. Then, do the same to the second term. Here, the number 4 is technically 4x⁰, but of course, x⁰=1. Hence, 4x1=4. So again, 4x⁰ becomes 4x¹. Then divide 4 by 1, which gives 4. therefore the second term is 4x¹. Thus, the integral of 8x³ +4 is 4x⁴ + 4x + C. C being a constant that can be derived when limits are placed on the integral. Here is the formula for integration: Integral of uⁿ = uⁿ⁺¹ /(n+1) + C ,