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Popular >

integral from 0 to 5 of x-3

Solution

\int_{0}^{5} x - 3 d x

Solution

- \frac{5}{2}

+1

Decimal

- 2.5

Solution steps

\int_{0}^{5} x - 3 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} 3 d x

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

\int_{0}^{5} 3 d x = 15

= \frac{25}{2} - 15

Simplify

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

= - \frac{5}{2}

Graph

Popular Examples

integral from 0 to 2 of (6x-9)(8x^2+2)

\int_{0}^{2} (6 x - 9) (8 x^{2} + 2) d x

integral from 0 to 3 of (e^x)/(10+e^x)

\int_{0}^{3} \frac{e ^{x}}{10 + e ^{x}} d x

integral from 2 to 6 of 5/x

\int_{2}^{6} \frac{5}{x} d x

integral from 0 to 4 of (2/(x+1))

\int_{0}^{4} (\frac{2}{x + 1}) d x

integral from 2 to 5 of (x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x-3 ?
The integral from 0 to 5 of x-3 is -5/2