Question

Find the area bounded by the curve y = x⁴, x-axis and lines x = 1 and x = 5.

Answer 1

Required area A = `int_1^5 y dx`
Given y = x⁴

`therefore A = int_1^5 x^4 dx`

= `[x^5/5] = 1/5[ 5^5 - 1^5]`

= `1/5 [ 3125 - 1 ]`

= `3124/5` sq.units.