Question

What is the antiderivative of x^1/3?

Answer 1

use the power rule backward
\[\int










































































x^ndx=\frac{x^{n+1}}{n+1}\]

Answer 2

something missing there satellite

Answer 3

yeah the stupid and quite irrelevant \(+C\)

Answer 4

:p

Answer 5

not that irrelevant. It is very important (at least in engineering when you're calculating a bending beam)

Answer 6

Sorry, I missed the messages on this side of the screen. I'm calculating the average value of g(x) = x^1/3 on [1,8]. I'm drawing a blank on integrating a fraction...

Answer 7

(1/3) = n

just apply satellite's formula

Answer 8

1/2x^4/3 ?

Answer 9

\[\frac{ 3 }{ 4 }x ^{\frac{ 4 }{ 3 }}\]

Answer 10

I don't understand where the 3/4 comes from...?

Answer 11

\[\frac{ x ^{\frac{ 4 }{3 }} }{ \frac{ 1 }{ 3}+1 }\]

Answer 12

Got it! Thanks!