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Popular >

integral of (-x+2)

Solution

\int (- x + 2) d x

Solution

- \frac{x ^{2}}{2} + 2 x + C

Solution steps

\int - x + 2 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 x d x + \int 2 d x

\int x d x = \frac{x ^{2}}{2}

\int 2 d x = 2 x

= - \frac{x ^{2}}{2} + 2 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 2 x + C

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derivative of sqrt(2cos(x))

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Frequently Asked Questions (FAQ)

What is the integral of (-x+2) ?
The integral of (-x+2) is -(x^2)/2+2x+C