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Popular >

integral of 500-x/3

Solution

\int 500 - \frac{x}{3} d x

Solution

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

Solution steps

\int 500 - \frac{x}{3} 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 500 d x - \int \frac{x}{3} d x

\int 500 d x = 500 x

\int \frac{x}{3} d x = \frac{x ^{2}}{6}

= 500 x - \frac{x ^{2}}{6}

Add a constant to the solution

= 500 x - \frac{x ^{2}}{6} + C

Popular Examples

integral of (-x)/2

\int \frac{- x}{2} d x

integral of (11)/(ax+

\int \frac{11}{a x + d} d x

integral of (6+3x)/(1+x^2)

\int \frac{6 + 3 x}{1 + x ^{2}} d x

integral of x^3(x+1)(x+2)

\int x^{3} (x + 1) (x + 2) d x

integral of (x+1)/(x^2-3x+4)

\int \frac{x + 1}{x ^{2} - 3 x + 4} d x

Frequently Asked Questions (FAQ)

What is the integral of 500-x/3 ?
The integral of 500-x/3 is 500x-(x^2)/6+C