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Popular >

integral from-1 to 2 of 2-x

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

\int_{- 1}^{2} 2 d x = 6

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

= 6 - \frac{3}{2}

Simplify

6 - \frac{3}{2} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

integral from 0 to 1 of (5x^2-8x+4)

\int_{0}^{1} (5 x^{2} - 8 x + 4) d x

integral from 1 to 3 of (x^2-4x+8)

\int_{1}^{3} (x^{2} - 4 x + 8) d x

integral from 0 to pi of 20sin(x)

\int_{0}^{π} 20 sin (x) d x

integral from 0 to 1 of (-x)

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

integral from 0 to pi of sin(6x)cos(2x)

\int_{0}^{π} sin (6 x) cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 2-x ?
The integral from-1 to 2 of 2-x is 9/2