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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

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\int_{1}^{2} x^{3} cos (x^{4}) d x

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\int_{1}^{3} 4 e^{x - 1} d x

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

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

integral from 3 to infinity of 2/(x^3)

\int_{3}^{\infty} \frac{2}{x ^{3}} d x

integral from-1 to 1 of x|x|

\int_{- 1}^{1} x ∣ 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