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Popular >

integral from-1 to 1 of 2x^2-x+6

Solution

\int_{- 1}^{1} 2 x^{2} - x + 6 d x

Solution

\frac{40}{3}

+1

Solution steps

\int_{- 1}^{1} 2 x^{2} - x + 6 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_{- 1}^{1} 2 x^{2} d x - \int_{- 1}^{1} x d x + \int_{- 1}^{1} 6 d x

\int_{- 1}^{1} 2 x^{2} d x = \frac{4}{3}

\int_{- 1}^{1} x d x = 0

\int_{- 1}^{1} 6 d x = 12

= \frac{4}{3} - 0 + 12

Simplify

\frac{4}{3} - 0 + 12 : \frac{40}{3}

= \frac{40}{3}

Popular Examples

integral from 0 to x of (e^{x^2})

\int_{0}^{x} (e^{x^{2}}) d x

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\int_{- π}^{0} π - x d x

integral from 0 to 2pi of cos(t)sqrt(2)

\int_{0}^{2 π} cos (t) 2 d t

integral from 1 to e^t of ((ln(x))^2)/x

\int_{1}^{e^{t}} \frac{( ln ( x ) ) ^{2}}{x} d x

integral from-1 to 1 of 2/(1+4t^2)

\int_{- 1}^{1} \frac{2}{1 + 4 t ^{2}} d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2x^2-x+6 ?
The integral from-1 to 1 of 2x^2-x+6 is 40/3