Question

Solve the following :

Find the area of the region bounded by y = x², the X-axis and x = 1, x = 4.

Answer 1

Required area = `int_1^4y*dx`

= `int_1^4 x^2*dx`

= `[x^3/3]_1^4`

= `(1)/(3)(4^3 - 1^3)` 

= `(1)/(3)(64 - 1)`

= `(1)/(3)(63)`

= 21 sq. units.