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Popular >

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

Solution

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

Solution

4

Solution steps

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

\int_{- 1}^{3} x d x = 4

\int_{- 1}^{3} 2 d x = 8

= - 4 + 8

Simplify

= 4

Graph

Popular Examples

integral from 1 to 5 of 3+4x^{-4}

\int_{1}^{5} 3 + 4 x^{- 4} d x

integral from 1 to infinity of 1/y

\int_{1}^{\infty} \frac{1}{y} d y

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

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

integral from 0 to x of sqrt(t^3+t^5)

\int_{0}^{x} t^{3} + t^{5} d x

integral from 0 to 2 of 2x+4

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (-x+2) ?
The integral from-1 to 3 of (-x+2) is 4