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Popular >

integral from-5 to 4 of-x^2-3x

Solution

\int_{- 5}^{4} - x^{2} - 3 x d x

Solution

- \frac{99}{2}

+1

Decimal

- 49.5

Solution steps

\int_{- 5}^{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_{- 5}^{4} x^{2} d x - \int_{- 5}^{4} 3 x d x

\int_{- 5}^{4} x^{2} d x = 63

\int_{- 5}^{4} 3 x d x = - \frac{27}{2}

= - 63 - (- \frac{27}{2})

Simplify

- 63 - (- \frac{27}{2}) : - \frac{99}{2}

= - \frac{99}{2}

Graph

Popular Examples

integral from 1 to 2 of (3x^2-2x+1)

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

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\int_{0}^{1} x cos (πn x) d x

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

\int_{0}^{\frac{1}{2}} ln (1 - x^{2}) d x

integral from 0 to pi/2 of sin^4(θ)

\int_{0}^{\frac{π}{2}} sin^{4} (θ) d θ

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

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

Frequently Asked Questions (FAQ)

What is the integral from-5 to 4 of-x^2-3x ?
The integral from-5 to 4 of-x^2-3x is -99/2