Posted by mike on Thursday, July 31, 2014 at 11:37am.
find the area of the region bounded by the function y=x^2+5x4 and the xaxis

Math  Steve, Thursday, July 31, 2014 at 11:42am
y = (x1)(x4)
so you want to integrate between the roots, in the interval [1,4]
a = ∫[1,4] x^2+5x4 dx
= 1/3 x^3 + 5/2 x^2  4x [1,4]
Now just evaluate at the ends and subtract.