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Popular >

integral from-1 to 3 of (x-5)

Solution

\int_{- 1}^{3} (x - 5) d x

Solution

- 16

Solution steps

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

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

\int_{- 1}^{3} 5 d x = 20

= 4 - 20

Simplify

= - 16

Popular Examples

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

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

integral from 0 to infinity of 5/(7+x)

\int_{0}^{\infty} \frac{5}{7 + x} d x

integral from 0 to 5 of sin((pix)/(10))

\int_{0}^{5} sin (\frac{π x}{10}) d x

integral from-1 to 7 of 1/((x+1))

\int_{- 1}^{7} \frac{1}{( x + 1 )} d x

integral from-5 to 6 of (1-x)

\int_{- 5}^{6} (1 - x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x-5) ?
The integral from-1 to 3 of (x-5) is -16