# Math Help - Area problem help please

1. ## Area problem help please

Find the area of a region bounded by the graph f(x)=27-x^3 and vertical lines x=3 and x=1. Thank you.

2. Originally Posted by ihatemath
Find the area of a region bounded by the graph f(x)=27-x^3 and vertical lines x=3 and x=1. Thank you.
I take it it's also bounded by the horizontal axis as well...

You need to evaluate $\int_1^3{27 - x^3\,dx}$.

3. Ok, how would I do that?

4. $\int_1^3{27 - x^3\,dx} = \left[27x - \frac{1}{4}x^4\right]_1^3$
$= \left[27(3) - \frac{1}{4}(3)^4\right] - \left[27(1) - \frac{1}{4}(1)^4\right]$.

Can you go from there?

5. Ohhh.. ok.. I see what I did wrong.. Thank You SOO much!