What is the solution to a double integral problem with given limits?

[jaydnul]

Homework Statement
∫∫x^4ydxdy
x [-5,10]
y [-1,1]
(don't know how to do a definite integral in the math code...)

The answer choices are
A)10^5
B)0
C)-10^{10}

The attempt at a solution
\frac{x^5y}{5} evaluated at -5 to 10.

then
∫20625ydy evaluated at -1 to 1.

My final answer is 20625. What did I do wrong?

 

[Mark44]

Homework Statement
∫∫x^4ydxdy
x [-5,10]
y [-1,1]
(don't know how to do a definite integral in the math code...)

The answer choices are
A)10^5
B)0
C)-10^{10}

The attempt at a solution
\frac{x^5y}{5} evaluated at -5 to 10.

then
∫20625ydy evaluated at -1 to 1.

Your integral above is OK, but you fouled up when you evaluated the integrand. Try again.

My final answer is 20625. What did I do wrong?

 

[jaydnul]

I see. 0. thanks

 

[iRaid]

Homework Statement
∫∫x^4ydxdy
x [-5,10]
y [-1,1]
(don't know how to do a definite integral in the math code...)

The answer choices are
A)10^5
B)0
C)-10^{10}

The attempt at a solution
\frac{x^5y}{5} evaluated at -5 to 10.

then
∫20625ydy evaluated at -1 to 1.

My final answer is 20625. What did I do wrong?

Just fyi, to do a definite integral it's \int_{#}^{#} the _{#} being the bottom number, ^{#} being the top number.

 

[Mark44]

So the full integral would look like this:

$$ \int_{-1}^1 \int_{-5}^{10} x^4 y dx~dy$$

I put this inside HTML code tags so that you could see the script without the browser rendering it. In rendered form, it looks like this:
$$ \int_{-1}^1 \int_{-5}^{10} x^4 y dx~dy$$

 

[jaydnul]

Oh ok good to know. Thanks guys!