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Popular Calculus >

integral from-1 to 0 of-x+2x^2

Solution

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

Solution

\frac{7}{6}

+1

Decimal

1.16666 \dots

Solution steps

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

\int_{- 1}^{0} x d x = - \frac{1}{2}

\int_{- 1}^{0} 2 x^{2} d x = \frac{2}{3}

= - (- \frac{1}{2}) + \frac{2}{3}

Simplify

- (- \frac{1}{2}) + \frac{2}{3} : \frac{7}{6}

= \frac{7}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of-x+2x^2 ?
The integral from-1 to 0 of-x+2x^2 is 7/6