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Popular >

integral of (3x)^2

Solution

\int (3 x)^{2} d x

Solution

3 x^{3} + C

Solution steps

\int (3 x)^{2} d x

Simplify

(3 x)^{2} : 9 x^{2}

= \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

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tangent of (x+7)/(x+1)tangent of

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Frequently Asked Questions (FAQ)

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