Question

INTEGRATION! (Will medal)

I am having some issues with the following integral.

Answer 1

\[\int\limits_{?}^{?}t (2t+3)^{1/2} - 3t\]

Answer 2

I know I should use the 'u method' but am having issues with the 3t. Should I solve 'u' for t and plug into 3t?

Answer 3

Actually the substitution part is the hardest part, all you have to do to simplify your integral is break it apart before you do that, here like this:

\[\int t (2t+3)^{1/2} - 3t dt=\int t (2t+3)^{1/2} dt + \int - 3t dt\]
Now you can just solve them separately :)

Answer 4

I overthought that hahaha! Thank you so much!

Answer 5

Yeah glad to help! :D