What is the integral from 6 to 4 of x^2 ?

The integral from 6 to 4 of x^2 is -152/3

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integral from 6 to 4 of x^2

\int_{6}^{4} x^{2} d x

- \frac{152}{3}

Decimal Notation

- 50.66666 \dots

Solution steps

\int_{6}^{4} x^{2} d x

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

= - \int_{4}^{6} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{4}^{6}

= - [\frac{x ^{3}}{3}]_{4}^{6}

Compute the boundaries:

\frac{152}{3}

= - \frac{152}{3}

\int_{0}^{1} \frac{1}{2} e^{- \frac{x}{2}} d x

\int_{- 1}^{1} \frac{1}{1 + e ^{x}} d x

\int_{0}^{1} x (x + 5) d x

\int_{0}^{1} \frac{2}{3} x d x

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

What is the integral from 6 to 4 of x^2 ?
The integral from 6 to 4 of x^2 is -152/3