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Popular >

integral from-4 to 0 of-y^2-4y

Solution

\int_{- 4}^{0} - y^{2} - 4 y d y

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

\int_{- 4}^{0} - y^{2} - 4 y d y

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}^{0} y^{2} d y - \int_{- 4}^{0} 4 y d y

\int_{- 4}^{0} y^{2} d y = \frac{64}{3}

\int_{- 4}^{0} 4 y d y = - 32

= - \frac{64}{3} - (- 32)

Simplify

- \frac{64}{3} - (- 32) : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral from 1 to 6 of sqrt(6x+1)

\int_{1}^{6} 6 x + 1 d x

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

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

integral from-5 to 4 of e^{x+4}

\int_{- 5}^{4} e^{x + 4} d x

integral from 1 to 16 of 3/(sqrt(x))

\int_{1}^{16} \frac{3}{x} d x

integral from 3 to 0 of (6x-x^3)

\int_{3}^{0} (6 x - x^{3}) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 0 of-y^2-4y ?
The integral from-4 to 0 of-y^2-4y is 32/3