TFM

Okay, so:

[tex] f(x) = x^{3/2}, f'(x) = \frac{2}{5}x^{5/2} [/tex]

[tex] g'(x) = e^{-\beta x}, g(x) = -\beta e^{-\beta x} [/tex]

Thus:

[tex] -x^{3/2}\beta e^{-\beta x} - \int{-\frac{2}{5}x^{5/2}\beta e^{-\beta x} } [/tex]

Okay so far?