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.

symbolab integrals

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):
integral step by step solution
Show steps...
integral step by step solution
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):
integral step by step solution
Show steps...
integral step by step solution
Substitution, Integration by parts, good strategy…

One more (click here):
integral step by step solution

And the steps…
integral step by step solution
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