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Popular >

integral from 2 to 6 of (x-1)

Solution

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

Solution

12

Solution steps

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

\int_{2}^{6} x d x = 16

\int_{2}^{6} 1 d x = 4

= 16 - 4

Simplify

= 12

Popular Examples

integral from pi/6 to pi/3 of 2cos(x)

\int_{\frac{π}{6}}^{\frac{π}{3}} 2 cos (x) d x

integral from 0 to 3 of x^3+5

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

integral from 0 to 0.5 of 4/3 (1-x^3)

\int_{0}^{0.5} \frac{4}{3} (1 - x^{3}) d x

integral from 0 to x of 2(x+y)

\int_{0}^{x} 2 (x + y) d y

integral from x to 1 of 32/9 (xy)^{1/3}

\int_{x}^{1} \frac{32}{9} (x y)^{\frac{1}{3}} d y

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x-1) ?
The integral from 2 to 6 of (x-1) is 12