maths

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?

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

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  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

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  3. sorry, x = 2 to x = 5

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