This is the area we need to find:

Area bounded by a parabola, the x-axis and x=4. 1 2 3 4 -1 -2 5 10 15 20 25 x y
`y=x^2+1`

Area bounded by a parabola, the axes and `x=4`..

The area is given by:

`int_0^4(x^2+1)dx =[x^3/3+x]_0^4`

`=(4^3/3+4)-(0^3/3+0)`

`=76/3\ "units"^2`

`~~25.3\ "units"^2`

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