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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 0 to 1 of xe^xln(2)

\int_{0}^{1} x e^{x} ln (2) d x

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

integral from 0 to 1 of sinh^2(x)

\int_{0}^{1} sinh^{2} (x) d x

integral from 0 to pi/8 of e^{-x}sin(4x)

\int_{0}^{\frac{π}{8}} e^{- x} sin (4 x) d x

integral from 0 to 2 of xsqrt(1+x^2)

\int_{0}^{2} x 1 + x^{2} d x

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