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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

derivative of x^2sin(2x)derivative of

x^{2} sin (2 x)

limit as x approaches 7 of sin((pix)/2)

x \to 7 lim (sin (\frac{π x}{2}))

derivative of x-6 derivative of

x - 6

integral of (sin(4x))/(cos(2x))

\int \frac{sin ( 4 x )}{cos ( 2 x )} d x

area y=-x^2+4x,y=x^2-2x area

y = - x^{2} + 4 x, y = x^{2} - 2 x

Frequently Asked Questions (FAQ)

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