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Popular >

integral of-x+5

Solution

\int - x + 5 d x

Solution

- \frac{x ^{2}}{2} + 5 x + C

Solution steps

\int - x + 5 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 5 d x

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

\int 5 d x = 5 x

= - \frac{x ^{2}}{2} + 5 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 5 x + C

Graph

Popular Examples

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\frac{d}{d x} (ln (2 x^{3}))

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\frac{d}{d x} (\frac{sin ( x ) cos ( x )}{2 x ^{2}})

limit as x approaches infinity+of 5+6/x

x \to \infty + lim (5 + \frac{6}{x})

2(d^2y)/(dx^2)-14(dy)/(dx)+24y=3sin(4x)

2 \frac{d ^{2} y}{d x ^{2}} - 14 \frac{d y}{d x} + 24 y = 3 sin (4 x)

Frequently Asked Questions (FAQ)

What is the integral of-x+5 ?
The integral of-x+5 is -(x^2)/2+5x+C