Monday, January 5, 2015

Advanced Math Solutions – Integral Calculator, integration by parts, Part II

In the previous post we covered integration by parts.  Quick review:
Integration by parts is essentially the reverse of the product rule. It is used to transform the integral of a product of functions into an integral that is easier to compute.

Integration by parts formula: \int\:uv'=uv-\int\:u'v

In this post we’ll cover some more advanced examples.

Let’s start with examples using both integration by parts and substitution (click here):


Here’s another example using integration by parts and substitution (click here):


Don’t forget to add a constant

Here’s a tricky one, using integration by parts twice and some manipulation (click here):



Here’s another tricky example (click here):



If you've gotten this far, you sure know how to integrate.  Good job!

Cheers,
Michal

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