What is the integral from 0 to 2 of 2x-x ?

The integral from 0 to 2 of 2x-x is 2

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integral from 0 to 2 of 2x-x

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

2

Solution steps

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

Simplify

= \int_{0}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{2}

= [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= 2

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

\int_{0}^{2 π} - cos (x) sin (x) d x

\int_{x}^{0} e^{- 11 t} d t

\int_{1}^{2} 9 x^{2} d x

\int_{1}^{n} \frac{[ x ]}{x} d x

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