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Popular Calculus >

integral from 1 to 2 of (2-6y^2)

Solution

\int_{1}^{2} (2 - 6 y^{2}) d y

Solution

- 12

Solution steps

\int_{1}^{2} 2 - 6 y^{2} 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_{1}^{2} 2 d y - \int_{1}^{2} 6 y^{2} d y

\int_{1}^{2} 2 d y = 2

\int_{1}^{2} 6 y^{2} d y = 14

= 2 - 14

Simplify

= - 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2-6y^2) ?
The integral from 1 to 2 of (2-6y^2) is -12