What is the integral from-2 to 3 of (x^2+3x-13) ?

The integral from-2 to 3 of (x^2+3x-13) is -275/6

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integral from-2 to 3 of (x^2+3x-13)

\int_{- 2}^{3} (x^{2} + 3 x - 13) d x

- \frac{275}{6}

Decimal Notation

- 45.83333 \dots

Solution steps

\int_{- 2}^{3} x^{2} + 3 x - 13 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_{- 2}^{3} x^{2} d x + \int_{- 2}^{3} 3 x d x - \int_{- 2}^{3} 13 d x

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

\int_{- 2}^{3} 3 x d x = \frac{15}{2}

\int_{- 2}^{3} 13 d x = 65

= \frac{35}{3} + \frac{15}{2} - 65

Simplify

\frac{35}{3} + \frac{15}{2} - 65 : - \frac{275}{6}

= - \frac{275}{6}

x \to 0 lim (arctan (ln (x)))

(cos (x) sin (x))^{^{'}}

\frac{\partial}{\partial x} (3 x e^{- x y})

e^{- 2 s} \frac{1}{10 s + 2}

\frac{d}{d x} (2 x^{\frac{3}{2}} + 7)

What is the integral from-2 to 3 of (x^2+3x-13) ?
The integral from-2 to 3 of (x^2+3x-13) is -275/6