What is the integral from 5 to 13 of x^2 ?

The integral from 5 to 13 of x^2 is 2072/3

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integral from 5 to 13 of x^2

\int_{5}^{13} x^{2} d x

\frac{2072}{3}

Decimal

690.66666 \dots

Solution steps

\int_{5}^{13} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{5}^{13}

= [\frac{x ^{3}}{3}]_{5}^{13}

Compute the boundaries:

\frac{2072}{3}

= \frac{2072}{3}

\int_{\frac{π}{5}}^{\frac{π}{3}} sin (2 x) d x

\int_{0}^{l n (3)} \frac{1}{1 + e ^{- x}} d x

\int_{4}^{17} x e^{- x^{2}} d x

\int_{- 1}^{1} (x + y + 1) d x

\int_{0}^{3} 200 + 10 t + \frac{1}{3} t^{2} d t

What is the integral from 5 to 13 of x^2 ?
The integral from 5 to 13 of x^2 is 2072/3