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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

Popular Examples

area y=-3x+12,y=2x^2-11x+12 area

y = - 3 x + 12, y = 2 x^{2} - 11 x + 12

integral of (sin(2s))/(cos(2s))

\int \frac{sin ( 2 s )}{cos ( 2 s )} d s

integral of 120x

\int 120 x d x

sum from n=1 to infinity of (n+1)/n

n = 1 \sum \infty \frac{n + 1}{n}

limit as x approaches infinity+of (log_{4}(x))/(log_{7)(x)}

x \to \infty + lim (\frac{lo g _{4} ( x )}{lo g _{7} ( x )})

Frequently Asked Questions (FAQ)

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