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Popular >

integral from 0 to 2 of 6-x^2-x

Solution

\int_{0}^{2} 6 - x^{2} - x d x

Solution

\frac{22}{3}

+1

Decimal Notation

7.33333 \dots

Solution steps

\int_{0}^{2} 6 - x^{2} - x 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_{0}^{2} 6 d x - \int_{0}^{2} x^{2} d x - \int_{0}^{2} x d x

\int_{0}^{2} 6 d x = 12

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} x d x = 2

= 12 - \frac{8}{3} - 2

Simplify

12 - \frac{8}{3} - 2 : \frac{22}{3}

= \frac{22}{3}

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 6-x^2-x ?
The integral from 0 to 2 of 6-x^2-x is 22/3