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Popular >

integral from-1 to 0 of (x^2-2x)

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

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

Simplify

\frac{1}{3} - (- 1) : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral from 0 to 1 of 1/(x^2-36)

\int_{0}^{1} \frac{1}{x ^{2} - 36} d x

integral from 1 to 5 of (x^4)

\int_{1}^{5} (x^{4}) d x

integral from-4 to 4 of |x^2-9|

\int_{- 4}^{4} x^{2} - 9 d x

integral from 1 to 6 of 2/x

\int_{1}^{6} \frac{2}{x} d x

integral from 0 to 1 of 5x-5^x

\int_{0}^{1} 5 x - 5^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of (x^2-2x) ?
The integral from-1 to 0 of (x^2-2x) is 4/3