Question

Find the area of the region enclosed by the given curves: y=5x-x^2 and x-axis.

I think its 125/2-125/3

Answer 1

\[S=\int\limits_0^5 (5x-x^2)dx=\frac{5x^2}{2}-\frac{x^3}{3}|^5_0=\frac{125}{2}-\frac{125}{3}=\frac{125}{6}\]Your answer is OK.

Answer 2

thanks!