What is the integral from-3 to 2 of (3x^2-5x) ?

The integral from-3 to 2 of (3x^2-5x) is 95/2

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integral from-3 to 2 of (3x^2-5x)

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

\frac{95}{2}

Decimal Notation

47.5

Solution steps

\int_{- 3}^{2} 3 x^{2} - 5 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 3}^{2} 3 x^{2} d x - \int_{- 3}^{2} 5 x d x

\int_{- 3}^{2} 3 x^{2} d x = 35

\int_{- 3}^{2} 5 x d x = - \frac{25}{2}

= 35 - (- \frac{25}{2})

Simplify

35 - (- \frac{25}{2}) : \frac{95}{2}

= \frac{95}{2}

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What is the integral from-3 to 2 of (3x^2-5x) ?
The integral from-3 to 2 of (3x^2-5x) is 95/2