Calculus 2: How Do You Integrate? (36 of 300) Find the Integral of ... [(x^2)(a+bx)^n]dx=?

In this video I will find integral of [(x^2)(a+bx)^n]dx=?

Next video in the series can be seen at:

[theskoomacat]

I cannot stress how helpful your video uploads are. Thank you, and keep up with the good work!

[curtpiazza]

Wow! Great! I heard about the MIT "Integration Bee"....I'm sure these lessons would prepare one to compete! Q

[OmarAhmed-icfw]

Great, but this will not be the case if n =-1😃

[zanti]

Well that was interesting... in the previous video, you integrated x(ax+b)ⁿ by making a u substitution u=ax+b, giving du=b dx, x=(u-a)/b, and dx=du/b. In this video, you chose to do integration by parts, although the same u=ax+b substitution works fine. Just showing a little variety, eh?