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Popular >

integral of-kx

Solution

\int - k x d x

Solution

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

Solution steps

\int - k x d x

Take the constant out:

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

= - k \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(x(x+1))

\int \frac{1}{x ( x + 1 )} d x

limit as x approaches 0 of ((x+5))/(3x)

x \to 0 lim (\frac{( x + 5 )}{3 x})

derivative of y=(t^2+3)e^t derivative of

y = (t^{2} + 3) e^{t}

tangent of y=3+4x^2-2x^3 tangent of

y = 3 + 4 x^{2} - 2 x^{3}

y^{''}+9y=tsin(5t)

y^{^{''}} + 9 y = t sin (5 t)

Frequently Asked Questions (FAQ)

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