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Popular Calculus >

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

Solution

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

Solution

\frac{125}{6}

+1

Decimal

20.83333 \dots

Solution steps

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

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

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

\int_{- 3}^{2} 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}

Graph

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Frequently Asked Questions (FAQ)

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