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Popular >

integral from-4 to 1 of-x^2-3x

Solution

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

Solution

\frac{5}{6}

+1

Decimal Notation

0.83333 \dots

Solution steps

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

\int_{- 4}^{1} x^{2} d x = \frac{65}{3}

\int_{- 4}^{1} 3 x d x = - \frac{45}{2}

= - \frac{65}{3} - (- \frac{45}{2})

Simplify

- \frac{65}{3} - (- \frac{45}{2}) : \frac{5}{6}

= \frac{5}{6}

Popular Examples

integral from 2 to 4 of-x^2+2x+8

\int_{2}^{4} - x^{2} + 2 x + 8 d x

integral from 0 to 1 of (x^2-2x+8)

\int_{0}^{1} (x^{2} - 2 x + 8) d x

integral from pi/6 to pi of (sin(θ))

\int_{\frac{π}{6}}^{π} (sin (θ)) d θ

integral from 0 to 8 of x/(x^2+1)

\int_{0}^{8} \frac{x}{x ^{2} + 1} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-4 to 1 of-x^2-3x ?
The integral from-4 to 1 of-x^2-3x is 5/6