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Popular >

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

Solution

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

Solution

- \frac{99}{2}

+1

Decimal Notation

- 49.5

Solution steps

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

\int_{- 7}^{2} x^{2} d x = 117

\int_{- 7}^{2} 3 x d x = - \frac{135}{2}

= - 117 - (- \frac{135}{2})

Simplify

- 117 - (- \frac{135}{2}) : - \frac{99}{2}

= - \frac{99}{2}

Popular Examples

integral from 1 to 2 of 3/8 x^2

\int_{1}^{2} \frac{3}{8} x^{2} d x

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\int_{1}^{5} (x^{2} - 6 x + 5) d x

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

\int_{1}^{2} (\frac{x ^{2} + 4}{x}) d x

integral from 0 to pi/2 of sqrt(sin(x))

\int_{0}^{\frac{π}{2}} sin (x) d x

integral from 1 to 4 of (-x^2+5x-4)

\int_{1}^{4} (- x^{2} + 5 x - 4) d x

Frequently Asked Questions (FAQ)

What is the integral from-7 to 2 of-x^2-3x ?
The integral from-7 to 2 of-x^2-3x is -99/2