Question

(a) use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit.

Answer 1

By definition, the area is

`A = \int _(0)^(1) x^(3) dx \\\\ = (1)/(4) [x^(4) }]_(0)^(1) \\\\ = (1)/(4)`

Answer:
`(1)/(4)`