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Popular >

integral of 6x^2

Solution

\int 6 x^{2} d x

Solution

2 x^{3} + C

Solution steps

\int 6 x^{2} d x

Take the constant out:

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

= 6 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 6 \cdot \frac{x ^{3}}{3}

Simplify

6 \cdot \frac{x ^{3}}{3} : 2 x^{3}

= 2 x^{3}

Add a constant to the solution

= 2 x^{3} + C

Popular Examples

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

x \to 0 lim (x - \frac{1}{ln ∣ x ∣})

x^2y^'+2xy=ln(x),y(1)=6

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 6

limit as x approaches-2-of x/(x^2-4)

x \to - 2 - lim (\frac{x}{x ^{2} - 4})

derivative of sqrt(y/2)derivative of

\frac{y}{2}

derivative of-(48x/((x^2+12)^2))

\frac{d}{d x} (- \frac{48 x}{( x ^{2} + 12 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 6x^2 ?
The integral of 6x^2 is 2x^3+C