Integration by parts | Solution with procedure

Here you will see how to solve these integrals https://addjustabitofpi.com/integration-by-parts-exercises/ and check if you got them right!






Wait… we have the integral of sin(x)cos(x) again! So this means that

and

Easy, right?


Let’s solve this integral by performing another integration by parts.

so we have

We can do the same thing we did for the integral of sin(x)cos(x).

Therefore,


We now know that this is equal to

which is equal to

The answer is


Same thing here;

And that’s it! Stay tuned for more integrals. You might find these links useful:

https://addjustabitofpi.com/2019/10/03/fundamental-integrals/ https://addjustabitofpi.com/2019/10/03/rules-and-properties-of-integrals/ https://addjustabitofpi.com/2019/10/05/integration-techniques-integration-by-parts/.

Support my site!

I put all of my efforts to make this site as good as possible. If you would like, you can help my site grow with a small donation! I would really appreciate it.

$1.00

Leave a Reply