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Popular >

integral from 2 to 6 of (6-y^2)y

Solution

\int_{2}^{6} (6 - y^{2}) y d y

Solution

- 224

Solution steps

\int_{2}^{6} (6 - y^{2}) y d y

Expand

(6 - y^{2}) y : 6 y - y^{3}

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

\int_{2}^{6} 6 y d y = 96

\int_{2}^{6} y^{3} d y = 320

= 96 - 320

Simplify

= - 224

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\int_{0}^{4} \frac{1}{x - 1} d x

integral from 2 to 3 of 25

\int_{2}^{3} 25 d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (6-y^2)y ?
The integral from 2 to 6 of (6-y^2)y is -224