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Popular >

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

Solution

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

Solution

\frac{3}{2}

+1

Decimal

1.5

Solution steps

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

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

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

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

Simplify

1 - (- \frac{1}{2}) : \frac{3}{2}

= \frac{3}{2}

Graph

Popular Examples

integral from-4 to 4 of 4+sqrt(16-x^2)

\int_{- 4}^{4} 4 + 16 - x^{2} d x

integral from 0 to 2 of (6x-6)(4x^2+8)

\int_{0}^{2} (6 x - 6) (4 x^{2} + 8) d x

integral from 3 to 9 of |1-9/x |

\int_{3}^{9} 1 - \frac{9}{x} d x

integral from 0 to 1 of 2/(x(x+1))

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

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

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

Frequently Asked Questions (FAQ)

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