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Popular >

integral of-x/4

Solution

\int - \frac{x}{4} d x

Solution

- \frac{x ^{2}}{8} + C

Solution steps

\int - \frac{x}{4} d x

Take the constant out:

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

= - \frac{1}{4} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - \frac{1}{4} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{1}{4} \cdot \frac{x ^{2}}{2} : - \frac{x ^{2}}{8}

= - \frac{x ^{2}}{8}

Add a constant to the solution

= - \frac{x ^{2}}{8} + C

Popular Examples

implicit (dy)/(dx),xy^2=5 implicit derivative

\frac{d y}{d x}, x y^{2} = 5

derivative of log_{4}(x^3-7x+5)

\frac{d}{d x} (lo g_{4} (x^{3} - 7 x + 5))

integral from 0 to pi of-sin(x)

\int_{0}^{π} - sin (x) d x

limit as x approaches 0 of (sin(x))^{tan(x)}

x \to 0 lim ((sin (x))^{t a n (x)})

f(x)=sin(sin(x))

f (x) = sin (sin (x))

Frequently Asked Questions (FAQ)

What is the integral of-x/4 ?
The integral of-x/4 is -(x^2)/8+C