help with integration

Hi, I'm stuck on this question over here (I'll put it in replies idk how to put the image here)

it's basically just asking you to integrate the first bit. I managed to get to the third part but I have no idea how they actually integrate here

Original post by mitostudent

it's basically just asking you to integrate the first bit. I managed to get to the third part but I have no idea how they actually integrate here

Original post by mitostudent

From the first line to the second, they simply integrate each term using the usual rule and sum the results.

Original post by mitostudent

it's basically just asking you to integrate the first bit. I managed to get to the third part but I have no idea how they actually integrate here

Hmm... If I'm looking at the correct point where you're stuck, it's the power rule term by term.

\displaystyle \int x^a dx = \frac{1}{a+1}x^{a+1} + c

As to why, well, differentiate RHS gives you LHS.
(Tip: always quickly differentiate in your head to make sure your work makes sense)

(edited 4 months ago)

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