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Popular >

integral of f(3x)

Solution

\int f (3 x) d x

Solution

\frac{3 f x ^{2}}{2} + C

Solution steps

\int f \cdot 3 x d x

Take the constant out:

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

= 3 f \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 3 f \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{3 f x ^{2}}{2}

Add a constant to the solution

= \frac{3 f x ^{2}}{2} + C

Popular Examples

integral of 3cot^2(x)

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

integral of 3zsin(3z)-cos(3z)

\int 3 z sin (3 z) - cos (3 z) d z

integral of (2x^2+8+6/(x^2+1))

\int (2 x^{2} + 8 + \frac{6}{x ^{2} + 1}) d x

integral of (3x)/(x^2-3x+2)

\int \frac{3 x}{x ^{2} - 3 x + 2} d x

integral of 4x^{5/4}

\int 4 x^{\frac{5}{4}} d x

Frequently Asked Questions (FAQ)

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