What is the integral from 4 to 5 of x^2 ?

The integral from 4 to 5 of x^2 is 61/3

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integral from 4 to 5 of x^2

\int_{4}^{5} x^{2} d x

\frac{61}{3}

Solution steps

\int_{4}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{4}^{5}

= [\frac{x ^{3}}{3}]_{4}^{5}

Compute the boundaries:

\frac{61}{3}

= \frac{61}{3}

\int_{0}^{4} (4 - x) (x) d x

\int_{- 6}^{- 3} - x - 2 d x

\int_{0}^{4} (13 - x) x d x

\int_{2}^{6} (8 x^{3} - 6 x^{- 2}) d x

\int_{- 2}^{2} x^{2} + 4 d x

What is the integral from 4 to 5 of x^2 ?
The integral from 4 to 5 of x^2 is 61/3