Question

Find the area of the region bounded by the curve y = x², the X-axis and the lines x = 1, x = 3.

Answer 1

Required area = `int_1^3 y  dx`, where y = x²

= `int_1^3 x^2 dx`

= `[x^3/3]_1^3`

= `1/3[x^3]_1^3`

= `1/3 (27 - 1)`

= `26/3` sq. units.