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Popular >

integral from 0 to 6 of (x-1)

Solution

\int_{0}^{6} (x - 1) d x

Solution

12

Solution steps

\int_{0}^{6} 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}^{6} x d x - \int_{0}^{6} 1 d x

\int_{0}^{6} x d x = 18

\int_{0}^{6} 1 d x = 6

= 18 - 6

Simplify

= 12

Popular Examples

integral from 0 to 4 of z

\int_{0}^{4} z d z

integral from 1 to 2 of (2x+5)/(x^2)

\int_{1}^{2} \frac{2 x + 5}{x ^{2}} d x

integral from 0 to a of x^5sqrt(a^3-x^3)

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

integral from 0 to 2 of 3x-3/2

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

integral from-3 to 3 of ln(y^2+1)

\int_{- 3}^{3} ln (y^{2} + 1) d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (x-1) ?
The integral from 0 to 6 of (x-1) is 12