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Popular >

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

Solution

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

Solution

- \frac{11}{6}

+1

Decimal Notation

- 1.83333 \dots

Solution steps

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

\int_{- 4}^{- 3} x^{2} d x = \frac{37}{3}

\int_{- 4}^{- 3} 3 x d x = - \frac{21}{2}

= - \frac{37}{3} - (- \frac{21}{2})

Simplify

- \frac{37}{3} - (- \frac{21}{2}) : - \frac{11}{6}

= - \frac{11}{6}

Popular Examples

integral from 0 to x of x/(x^2+1)

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

integral from 1 to 2 of x^2ln(x^3)

\int_{1}^{2} x^{2} ln (x^{3}) d x

integral from 2 to 4 of 1/(x^3)

\int_{2}^{4} \frac{1}{x ^{3}} d x

integral from 0 to 1 of 9x^2

\int_{0}^{1} 9 x^{2} d x

integral from-2 to 2 of xcos(x)

\int_{- 2}^{2} x cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to-3 of-x^2-3x ?
The integral from-4 to-3 of-x^2-3x is -11/6