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Popular >

integral from 3 to 6 of x-5

Solution

\int_{3}^{6} x - 5 d x

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

\int_{3}^{6} 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_{3}^{6} x d x - \int_{3}^{6} 5 d x

\int_{3}^{6} x d x = \frac{27}{2}

\int_{3}^{6} 5 d x = 15

= \frac{27}{2} - 15

Simplify

\frac{27}{2} - 15 : - \frac{3}{2}

= - \frac{3}{2}

Graph

Popular Examples

integral from 0 to 4 of (x+3)^3

\int_{0}^{4} (x + 3)^{3} d x

integral from 0 to 8/9 of 8x-9x^2

\int_{0}^{\frac{8}{9}} 8 x - 9 x^{2} d x

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

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

integral from 0 to 5 of 1/(sqrt(9-2x))

\int_{0}^{5} \frac{1}{9 - 2 x} d x

integral from 0 to 3 of x^2-x-6

\int_{0}^{3} x^{2} - x - 6 d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of x-5 ?
The integral from 3 to 6 of x-5 is -3/2