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Popular >

integral from-2 to 3 of y^2-y-6

Solution

\int_{- 2}^{3} y^{2} - y - 6 d y

Solution

- \frac{125}{6}

+1

Decimal Notation

- 20.83333 \dots

Solution steps

\int_{- 2}^{3} y^{2} - y - 6 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_{- 2}^{3} y^{2} d y - \int_{- 2}^{3} y d y - \int_{- 2}^{3} 6 d y

\int_{- 2}^{3} y^{2} d y = \frac{35}{3}

\int_{- 2}^{3} y d y = \frac{5}{2}

\int_{- 2}^{3} 6 d y = 30

= \frac{35}{3} - \frac{5}{2} - 30

Simplify

\frac{35}{3} - \frac{5}{2} - 30 : - \frac{125}{6}

= - \frac{125}{6}

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of y^2-y-6 ?
The integral from-2 to 3 of y^2-y-6 is -125/6