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Popular >

integral of 4-x

Solution

\int 4 - x d x

Solution

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

Solution steps

\int 4 - x 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 4 d x - \int x d x

\int 4 d x = 4 x

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches-infinity of x^2+2

x \to - \infty lim (x^{2} + 2)

integral from 1 to 2 of 3x^2

\int_{1}^{2} 3 x^{2} d x

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

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

integral from 2 to 4 of-x^2+6x-8

\int_{2}^{4} - x^{2} + 6 x - 8 d x

limit as x approaches-8-of (x+7)/(x+8)

x \to - 8 - lim (\frac{x + 7}{x + 8})

Frequently Asked Questions (FAQ)

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