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Popular >

integral from-2 to 1 of 2-x

Solution

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

Solution

\frac{15}{2}

+1

Decimal

7.5

Solution steps

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

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

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

= 6 - (- \frac{3}{2})

Simplify

6 - (- \frac{3}{2}) : \frac{15}{2}

= \frac{15}{2}

Graph

Popular Examples

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

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

integral from 2 to 10 of 5e^{-sqrt(x)}

\int_{2}^{10} 5 e^{- x} d x

integral from 1 to e^8 of 2/x

\int_{1}^{e^{8}} \frac{2}{x} d x

integral from 0 to 1 of 2-x^2-x

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

integral from 2 to 5 of 1/((x+4))

\int_{2}^{5} \frac{1}{( x + 4 )} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of 2-x ?
The integral from-2 to 1 of 2-x is 15/2