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Popular Calculus >

integral of-12x

Solution

\int - 12 x d x

Solution

- 6 x^{2} + C

Solution steps

\int - 12 x d x

Take the constant out:

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

= - 12 \cdot \int x d x

Apply the Power Rule

= - 12 \cdot \frac{x ^{2}}{2}

Simplify

- 12 \cdot \frac{x ^{2}}{2} : - 6 x^{2}

= - 6 x^{2}

Add a constant to the solution

= - 6 x^{2} + C

Graph

Popular Examples

integral of 2t^3(t^4-3)^5

\int 2 t^{3} (t^{4} - 3)^{5} d t

derivative of g(x)=(arcsin(3x))/x derivative of

g (x) = \frac{arcsin ( 3 x )}{x}

limit as x approaches-infinity of-3x^3+x

x \to - \infty lim (- 3 x^{3} + x)

limit as x approaches 0 of-(ln(1+6x))/x

x \to 0 lim (- \frac{ln ( 1 + 6 x )}{x})

f(t)=(tsin(t))/(1+t)

f (t) = \frac{t sin ( t )}{1 + t}

Frequently Asked Questions (FAQ)

What is the integral of-12x ?
The integral of-12x is -6x^2+C