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

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

integral from 0 to 2 of 2x-4

\int_{0}^{2} 2 x - 4 d x

integral from 0 to ln(x) of ye^z

\int_{0}^{l n (x)} y e^{z} d z

integral from 2 to 10 of 1/12

\int_{2}^{10} \frac{1}{12} d x

integral from-5 to 3 of (x^3-2x+45)/2

\int_{- 5}^{3} \frac{x ^{3} - 2 x + 45}{2} 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