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Popular >

integral of 9x^2

Solution

integral

9 x^{2}

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

integral of 3xarccos(x)

\int 3 x arccos (x) d x

integral of pi^{3t}

\int π^{3 t} d t

integral of 2/(x^2-4x+5)

\int \frac{2}{x ^{2} - 4 x + 5} d x

integral of 6u^6sqrt(u^7+8)

\int 6 u^{6} u^{7} + 8 d u

integral of ((3x-17))/((x^2-6x+10))

\int \frac{( 3 x - 17 )}{( x ^{2} - 6 x + 10 )} d x

Frequently Asked Questions (FAQ)

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