What is the integral from 5 to 1 of x^2 ?

The integral from 5 to 1 of x^2 is -124/3

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integral from 5 to 1 of x^2

\int_{5}^{1} x^{2} d x

- \frac{124}{3}

Decimal Notation

- 41.33333 \dots

Solution steps

\int_{5}^{1} x^{2} d x

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

= - \int_{1}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{5}

= - [\frac{x ^{3}}{3}]_{1}^{5}

Compute the boundaries:

\frac{124}{3}

= - \frac{124}{3}

\int_{1}^{3} - \frac{1}{2} x + 5 d x

\int_{5}^{11} (5 - x) (x - 11) d x

\int_{1}^{9} 2 x d x

\int_{0}^{1} 3 sin (nπ x) d x

\int_{0}^{- 1} \frac{3}{1 + t ^{2}} d t

What is the integral from 5 to 1 of x^2 ?
The integral from 5 to 1 of x^2 is -124/3