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Popular Calculus >

integral from-1 to 0 of-x-1

Solution

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

Solution

- \frac{1}{2}

+1

Decimal

- 0.5

Solution steps

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

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

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

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

Simplify

- (- \frac{1}{2}) - 1 : - \frac{1}{2}

= - \frac{1}{2}

Graph

Popular Examples

integral from 0 to 2 of cos(x)

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

integral from 0 to 4 of 4

\int_{0}^{4} 4 d x

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

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

integral from-1 to 0 of xsqrt(x+1)

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

integral from-infinity to-3 of e^{-2x}

\int_{- \infty}^{- 3} e^{- 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of-x-1 ?
The integral from-1 to 0 of-x-1 is -1/2