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Popular >

integral from-3 to 3 of x^2+x+1

Solution

\int_{- 3}^{3} x^{2} + x + 1 d x

Solution

24

Solution steps

\int_{- 3}^{3} x^{2} + x + 1 d x

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}^{3} x^{2} d x + \int_{- 3}^{3} x d x + \int_{- 3}^{3} 1 d x

\int_{- 3}^{3} x^{2} d x = 18

\int_{- 3}^{3} x d x = 0

\int_{- 3}^{3} 1 d x = 6

= 18 + 0 + 6

Simplify

= 24

Graph

Popular Examples

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\int_{0}^{1} x^{- 2} ln (x) d x

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

integral from 0 to 1 of (1-x)^3

\int_{0}^{1} (1 - x)^{3} d x

integral from 0 to 2 of sqrt(2x+1)

\int_{0}^{2} 2 x + 1 d x

integral from 0 to 2 of (x^2-3x+2)

\int_{0}^{2} (x^{2} - 3 x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of x^2+x+1 ?
The integral from-3 to 3 of x^2+x+1 is 24