Blogs/Calculating Integrals

Calculating Integrals

peterwashington Nov 04 2021 3 min read 0 views
Calculus
Integral1.png

The integral is the inverse of the derivative. To calculate an indefinite integral, then we simply find the antiderivative, or the function whose derivative would lead to the function we are trying to integrate. For example, let’s say we are trying to calculate the integral of 1/x2:

We know that the antiderivative of 1/x2, or x-2, is -1/using the exponent rule. Therefore, using this simple rule, the integral is:

We add the “+ C” to account for the fact that the antiderivative function could have contained a constant term, for example -1/x+300. Because the derivative of any constant number is 0 (since a constant number never changes), it is possible that there was a constant in the function we were taking a derivative from.