Question

in an antiderivative, does the power rule applies to all functions with an exponent on the variable?

Answer 1

hmm do you mean \[\huge \int u^n du = \frac{u^{n+1}}{n+1}?\]

Answer 2

and yeah it applies :)

Answer 3

\[n\neq -1\]

Answer 4

^when n = -1 you use \[\int u^{-1} = \ln u\]

Answer 5

\[\int u^{-1} du = \ln u\]

Answer 6

thank you!!!!

Answer 7

to be really anal we should probably write it as \(\ln|u|\)