## Sunday, March 10, 2013

### Integrate This! or how to symbolab integrals

Integrals and derivatives are foundational tools of calculus, with numerous applications in science.  While differentiation has relatively easy rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not.  Some integration problems require techniques such as substitution, integration by parts, trigonometric identities, trigonometric substitutions, or possibly more than one method.  Integration requires a strategy.

The good news is that Symbolab does that for you now.  We’ve implement smart step-by-step integration solutions.

Best to start with an integration example (click here):
Show steps...
Adding +1-1 to get to a pattern we know how to integrate; now that’s a pretty cool trick!

Let’s try another one (click here):
Show steps...
Substitution, Integration by parts, good strategy…

One more (click here):

And the steps…
Partial fractions decomposition requires practice, but once you get the hang of it the integral becomes relatively simple.

So go practice, do your integrals and don’t forget to let us know if you find this feature helpful.

Integrate this!  Until the next post,
Michal