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Popular >

integral from-1 to 1 of 2-x

Solution

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

Solution

4

Solution steps

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

\int_{- 1}^{1} 2 d x = 4

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

= 4 - 0

Simplify

= 4

Graph

Popular Examples

integral from-2 to 2 of (2x^2-8)

\int_{- 2}^{2} (2 x^{2} - 8) d x

integral from-pi/4 to pi/4 of 2cos^2(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} 2 cos^{2} (x) d x

integral from-infinity to 0 of sin(x)

\int_{- \infty}^{0} sin (x) d x

integral from 1 to 5 of (x^2+1)

\int_{1}^{5} (x^{2} + 1) d x

integral from-1 to 3 of x^3-3x^2-1

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2-x ?
The integral from-1 to 1 of 2-x is 4