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Popular >

integral of 9x^2

Solution

\int 9 x^{2} d x

Solution

3 x^{3} + C

Solution steps

\int 9 x^{2} d x

Take the constant out:

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

= 9 \cdot \int x^{2} d x

Apply the Power Rule

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

= 9 \cdot \frac{x ^{3}}{3}

Simplify

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

= 3 x^{3}

Add a constant to the solution

= 3 x^{3} + C

Popular Examples

y^{''}+14y^'+50y=0,y(0)=2,y^'(0)=-17

y^{^{''}} + 14 y^{^{'}} + 50 y = 0, y (0) = 2, y^{^{'}} (0) = - 17

derivative of y=(2tan^2(2x)-1)^{1/2}derivative of

y = (2 tan^{2} (2 x) - 1)^{\frac{1}{2}}

(\partial)/(\partial x)(x(1-x-2y))

\frac{\partial}{\partial x} (x (1 - x - 2 y))

y'=0.002y(2500-y)

y^{'} = 0.002 y (2500 - y)

(d^2)/(dx^2)(x^3+y^3)

\frac{d ^{2}}{d x ^{2}} (x^{3} + y^{3})

Frequently Asked Questions (FAQ)

What is the integral of 9x^2 ?
The integral of 9x^2 is 3x^3+C