Evaluate the definite integral.

[neosonata]

Homework Statement

Integrate from 0 to 1

x⁴⁷e^-x48

Homework Equations

The Attempt at a Solution

u = -x⁴⁸

du = -48x⁴⁷dx

dx = du / -48x⁴⁷


∫e^u * du/-48

-$\frac{1}{48}$ ∫ e^u du

-$\frac{1}{48}$ e^u


-$\frac{1}{48}$ e¹ - ( -$\frac{1}{48}$ e⁰)


-$\frac{e}{48}$ + $\frac{1}{48}$


$\frac{1-e}{48}$



What did I do wrong? Webassign marked this as incorrect but I redid it and got same answer.

 

[vela]

When x=1, u=-1.

 

[Char. Limit]

-$\frac{1}{48}$ e^-1 - ( -$\frac{1}{48}$ e⁰)

Here's your problem. e^(-(1)^(48)) = e^(-1), not e^1.

 

[neosonata]

I see what I did wrong now, thank you.