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Popular Calculus >

integral of-x+4

Solution

\int - x + 4 d x

Solution

- \frac{x ^{2}}{2} + 4 x + C

Solution steps

\int - x + 4 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 4 d x

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

\int 4 d x = 4 x

= - \frac{x ^{2}}{2} + 4 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 4 x + C

Graph

Popular Examples

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integral of xcos(8x)

limit as x approaches 4-of (5x)/(x^2-4x)

integral of (15)/(1-cos(5x))

Frequently Asked Questions (FAQ)

What is the integral of-x+4 ?
The integral of-x+4 is -(x^2)/2+4x+C