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Popular >

integral from-5 to 2 of (1-x)

Solution

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

Solution

\frac{35}{2}

+1

Decimal

17.5

Solution steps

\int_{- 5}^{2} 1 - 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_{- 5}^{2} 1 d x - \int_{- 5}^{2} x d x

\int_{- 5}^{2} 1 d x = 7

\int_{- 5}^{2} x d x = - \frac{21}{2}

= 7 - (- \frac{21}{2})

Simplify

7 - (- \frac{21}{2}) : \frac{35}{2}

= \frac{35}{2}

Graph

Popular Examples

integral from 1 to 2 of ((3x^2+9x+1)/x)

\int_{1}^{2} (\frac{3 x ^{2} + 9 x + 1}{x}) d x

integral from-1 to 1 of 8sqrt(1-x^2)

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

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

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

integral from 0 to 8 of pix^{2/3}

\int_{0}^{8} π x^{\frac{2}{3}} d x

integral from-1 to 0 of-cos(npix)

\int_{- 1}^{0} - cos (nπ x) d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 2 of (1-x) ?
The integral from-5 to 2 of (1-x) is 35/2