Question

Sketch the region bounded by the x-axis, the curve y = x2 + x + 1 and the lines x = 2 and x = 5. Write down a definite integral that represents the area of that region
Just stuck getting points for the first equation as when I put y=0 I got a complex root?

Answer 1

The two vertical lines and the parabola do not bound a closed region. I suspect a typo.

Answer 2

Huh? Why are you doing roots when you are asked to do an integral?
the roots of x^2+ 1 x + 1 = 0 are indeed complex
now the actual problem is :
integrate y = (x^2 + x + 1) dx from x = 2 to x = 3
x^3/3 + x^2/2 + x
at 3 - at 2
= 27/3 + 9/2 + 3 - 8/3 -4/2 - 2

Answer 3

sorry, x = 2 to x = 5