Question

solve the equation given
and m off for tonight

Answer 1

\[\int\limits_{0}^{\infty} \frac{ dx }{ x ^{1/3}(1-x)^{1/2} }\]

Answer 2

hmmm it's an improper integral, can rewrite it as
\[\lim_{n \rightarrow \infty}\int\limits_{0}^{n}\frac{ dx }{ x ^{1/3}(1-x)^{1/2} }\]

Answer 3

maybe you can now use integration by parts

Answer 4

well tp begin with what do you already know

Answer 5

It's not an equation, dude.

Answer 6

so what is it? O.o

Answer 7

It's just an expression.
You could call it an integral.
Equations require an equal sign.

Answer 8

oops
then can you solve it?

Answer 9

There is this thing called the beta function, ever hear of it?

Answer 10

yep

Answer 11

gamma function and beta function both

Answer 12

well

Answer 13

I don't think it has an elementary anti-derivative.

Answer 14

what can you tell about its convergence

Answer 15

Remember the \(p\) series.... \[
\int \frac{1}{x^p}dx
\]Converges for \(p>1\). Otherwise it diverges.

Answer 16

olright then
gotcha

Answer 17

Try comparing it to a \(p\) series.