Difficult Distribution Function

[trojansc82]

Homework Statement

∫3/4³x²e^-(x/4)3

Homework Equations

F(x) = ₀∫^xf(t) dt

The Attempt at a Solution

The solution is 1 - e^-(x/4)3

I have tried integrating but I am not able to arrive at the solution...

What is the indefinite integral of e^-(x/4)3?

 

[LCKurtz]

Homework Statement

∫3/4³x²e^-(x/4)3

Homework Equations

F(x) = ₀∫^xf(t) dt

The Attempt at a Solution

The solution is 1 - e^-(x/4)3

I have tried integrating but I am not able to arrive at the solution...

What is the indefinite integral of e^-(x/4)3?

It is hard to make out what your equations actually are. But you aren't asked to integrate e^-(x/4)3. You have an x² in there. Basically, ignoring the constants you have an integral of the form

$$\int x^2e^{-x^3}\, dx$$

and you need to do a substitution similar to u = x³, du = 3x²dx but modified to include your constants.