What is the integral from 5 to 2 of x^2 ?

The integral from 5 to 2 of x^2 is -39

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integral from 5 to 2 of x^2

\int_{5}^{2} x^{2} d x

- 39

Solution steps

\int_{5}^{2} x^{2} d x

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

= - \int_{2}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{5}

= - [\frac{x ^{3}}{3}]_{2}^{5}

Compute the boundaries:

39

= - 39

\int_{- 1}^{3} x^{2} - 2 x d x

\int_{- 1}^{2} 6 x d x

\int_{- 1}^{1} 1 + x^{2} d x

\int_{0}^{2} 2^{5 x} d x

\int_{0}^{3} (2 x + 5) d x

What is the integral from 5 to 2 of x^2 ?
The integral from 5 to 2 of x^2 is -39