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Popular >

integral of-18x^2

Solution

\int - 18 x^{2} d x

Solution

- 6 x^{3} + C

Solution steps

\int - 18 x^{2} d x

Take the constant out:

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

= - 18 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 18 \cdot \frac{x ^{3}}{3}

Simplify

- 18 \cdot \frac{x ^{3}}{3} : - 6 x^{3}

= - 6 x^{3}

Add a constant to the solution

= - 6 x^{3} + C

Popular Examples

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

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

derivative of y=5x^2+7x-4 derivative of

y = 5 x^{2} + 7 x - 4

derivative of 4^{4x}derivative of

4^{4 x}

(\partial)/(\partial y)(x*cos(y))

\frac{\partial}{\partial y} (x \cdot cos (y))

tangent of y=(6x)/(x+5),(-3,-9)tangent of

y = \frac{6 x}{x + 5}, (- 3, - 9)

Frequently Asked Questions (FAQ)

What is the integral of-18x^2 ?
The integral of-18x^2 is -6x^3+C