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Popular >

integral from 1 to 5 of (x-1)

Solution

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

Solution

8

Solution steps

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

\int_{1}^{5} x d x = 12

\int_{1}^{5} 1 d x = 4

= 12 - 4

Simplify

= 8

Graph

Popular Examples

integral from 3 to 6 of 1/x

\int_{3}^{6} \frac{1}{x} d x

integral from 0 to 1 of x(e^{x^2}-1)

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

integral from 0 to 1 of (x+8)(x-9)

\int_{0}^{1} (x + 8) (x - 9) d x

integral from 1 to 2 of x^{-6}

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of (x-1) ?
The integral from 1 to 5 of (x-1) is 8