Question

How do you find the area bounded by the curve is `y= 2x^2`, y=0, x=0, x=5?

Answer 1

From basic definitions of integrals
the area bounded by the curve `y=2x^2, y=0, x=0, x=5`
is
`int_0^5 2x^2 dx`

`= (2/3 x^3)|_0^5`

`= (250)/3 = 83 1/3`