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Popular >

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

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

= 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

Popular Examples

integral of 3/t

\int \frac{3}{t} d t

limit as x approaches 8 of x/(ln(9-x))

x \to 8 lim (\frac{x}{ln ( 9 - x )})

limit as x approaches 5 of 2/(x+5)

x \to 5 lim (\frac{2}{x + 5})

2(dy)/(dx)=2x-y

2 \frac{d y}{d x} = 2 x - y

(\partial)/(\partial x)(x(sin(xy)))

\frac{\partial}{\partial x} (x (sin (x y)))

Frequently Asked Questions (FAQ)

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