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Popular >

integral from 0 to 5 of (x-1)

Solution

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

Solution

\frac{15}{2}

+1

Decimal

7.5

Solution steps

\int_{0}^{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_{0}^{5} x d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x d x = \frac{25}{2}

\int_{0}^{5} 1 d x = 5

= \frac{25}{2} - 5

Simplify

\frac{25}{2} - 5 : \frac{15}{2}

= \frac{15}{2}

Graph

Popular Examples

integral from 0 to 3 of x^2+2x-8

\int_{0}^{3} x^{2} + 2 x - 8 d x

integral from 0 to 4 of (x+1)

\int_{0}^{4} (x + 1) d x

integral from 1 to 3 of 0.25

\int_{1}^{3} 0.25 d x

integral from 0 to pi/4 of cotan(x)

\int_{0}^{\frac{π}{4}} co tan (x) d x

integral from 0 to z of z^2

\int_{0}^{z} z^{2} d z

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x-1) ?
The integral from 0 to 5 of (x-1) is 15/2