3 years ago

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

1 answer:

4 0

By definition, the area is
$A = \int _{0}^{1} x^{3} dx \\\\ = \frac{1}{4} [x^{4} }]_{0}^{1} \\\\ = \frac{1}{4}$

Answer: $\frac{1}{4}$

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