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Popular >

integral from-7 to 4 of-x^2-3x

Solution

\int_{- 7}^{4} - x^{2} - 3 x d x

Solution

- \frac{517}{6}

+1

Decimal Notation

- 86.16666 \dots

Solution steps

\int_{- 7}^{4} - x^{2} - 3 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_{- 7}^{4} x^{2} d x - \int_{- 7}^{4} 3 x d x

\int_{- 7}^{4} x^{2} d x = \frac{407}{3}

\int_{- 7}^{4} 3 x d x = - \frac{99}{2}

= - \frac{407}{3} - (- \frac{99}{2})

Simplify

- \frac{407}{3} - (- \frac{99}{2}) : - \frac{517}{6}

= - \frac{517}{6}

Popular Examples

integral from 2 to 4 of e^{-st}

\int_{2}^{4} e^{- s t} d t

integral from 1 to 9 of (2ln(x))/x

\int_{1}^{9} \frac{2 ln ( x )}{x} d x

integral from-3 to 3 of (-x^2+9)

\int_{- 3}^{3} (- x^{2} + 9) d x

integral from 2 to 5 of 3/x

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

integral from 4 to 9 of 1/(x^2)

\int_{4}^{9} \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-7 to 4 of-x^2-3x ?
The integral from-7 to 4 of-x^2-3x is -517/6