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Popular >

integral of-1(x-4)

Solution

\int - 1 (x - 4) d x

Solution

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

Solution steps

\int - 1 \cdot (x - 4) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int x - 4 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 4 d x)

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

\int 4 d x = 4 x

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

Simplify

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

Add a constant to the solution

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

Popular Examples

limit as t approaches pi of t/pi

t \to π lim (\frac{t}{π})

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\frac{d}{d x} ((2 x^{2} + 7) (8 x - 4))

area y=sqrt(3-x),y=x-1,y=-sqrt(3-x)area

y = 3 - x, y = x - 1, y = - 3 - x

derivative of x^{-1/2}*cos(x)

\frac{d}{d x} (x^{- \frac{1}{2}} \cdot cos (x))

derivative of (2x^3-1/(x^2))

\frac{d}{d x} (\frac{2 x ^{3} - 1}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of-1(x-4) ?
The integral of-1(x-4) is -(x^2)/2+4x+C