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Popular >

integral of (3x)^3

Solution

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

Solution

\frac{27 x ^{4}}{4} + C

Solution steps

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

Simplify

(3 x)^{3} : 27 x^{3}

= \int 27 x^{3} d x

Take the constant out:

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

= 27 \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= 27 \cdot \frac{x ^{4}}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{27 x ^{4}}{4}

Add a constant to the solution

= \frac{27 x ^{4}}{4} + C

Graph

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integral of (e^{-12x}+11^x)

\int (e^{- 12 x} + 1 1^{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of (3x)^3 ?
The integral of (3x)^3 is (27x^4)/4+C