What is the integral from 4 to 1 of x^2 ?

The integral from 4 to 1 of x^2 is -21

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integral from 4 to 1 of x^2

\int_{4}^{1} x^{2} d x

- 21

Solution steps

\int_{4}^{1} x^{2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{4} x^{2} d x

Apply the Power Rule

= - [\frac{x ^{3}}{3}]_{1}^{4}

Compute the boundaries:

21

= - 21

What is the integral from 4 to 1 of x^2 ?
The integral from 4 to 1 of x^2 is -21