From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.

Indefinite Integrals Introduction

If derivatives are the Justice League of calculus, indefinite integrals are the Anti-Justice League. Indefinite integrals are the antithesis of derivatives—they represent the exact opposite operation. The term antiderivative means the same thing as an indefinite integral...it's like they're Two-Face/Harvey Dent.

It's important to point out the difference between definite and indefinite integrals. Since definite integrals represent an area, they give an actual number. Indefinite integrals, on the other hand, are infinite collections of functions. If the infinite part makes you feel like Superman + Kryptonite, all we're talking about is the + C that gets added to the end of the antiderivative. The constant C can be any number, so there are infinitely many choices. Read on to see what we mean, and you'll feel super once again.

People who Shmooped this also Shmooped...

Advertisement