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Popular Calculus >

integral from-2 to 1 of 1+2y^2

Solution

\int_{- 2}^{1} 1 + 2 y^{2} d y

Solution

9

Solution steps

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

\int_{- 2}^{1} 1 d y = 3

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

= 3 + 6

Simplify

= 9

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of 1+2y^2 ?
The integral from-2 to 1 of 1+2y^2 is 9