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Popular >

integral of 5x-6

Solution

\int 5 x - 6 d x

Solution

\frac{5 x ^{2}}{2} - 6 x + C

Solution steps

\int 5 x - 6 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 5 x d x - \int 6 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 6 d x = 6 x

= \frac{5 x ^{2}}{2} - 6 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 6 x + C

Popular Examples

derivative of sqrt(x/(x^2+6))derivative of

\frac{x}{x ^{2} + 6}

[x-yarctan(y/x)]dx+xarctan(y/x)dy=0

[x - y arctan (\frac{y}{x})] d x + x arctan (\frac{y}{x}) d y = 0

integral from 7 to infinity of xe^{-2x}

\int_{7}^{\infty} x e^{- 2 x} d x

t y^{^{'}} + 2 y = t^{2}

limit as x approaches infinity of (e^{2x-7})/(6x)

x \to \infty lim (\frac{e ^{2 x - 7}}{6 x})

Frequently Asked Questions (FAQ)

What is the integral of 5x-6 ?
The integral of 5x-6 is (5x^2)/2-6x+C