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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

= 6 + 3

Simplify

= 9

Popular Examples

integral from 0 to 4 of-6x^2-24x+192

\int_{0}^{4} - 6 x^{2} - 24 x + 192 d x

integral from-pi to 1 of 3x+pi

\int_{- π}^{1} 3 x + π d x

integral from 1 to 2 of tan^2(x)

\int_{1}^{2} tan^{2} (x) d x

integral from 1 to 7 of 1/(x+1)

\int_{1}^{7} \frac{1}{x + 1} d x

integral from 0 to 2 of z^2

\int_{0}^{2} z^{2} d z

Frequently Asked Questions (FAQ)

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