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Popular >

integral of g(3x)

Solution

\int g (3 x) d x

Solution

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

Solution steps

\int g \cdot 3 x d x

Take the constant out:

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

= 3 g \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of sqrt(25-x)

\int 25 - x d x

integral of (x^2+1)/(x^3+3x+1)

\int \frac{x ^{2} + 1}{x ^{3} + 3 x + 1} d x

integral of sqrt(x+7)

\int x + 7 d x

integral of (4(x^2+1))/(x^2)

\int \frac{4 ( x ^{2} + 1 )}{x ^{2}} d x

integral of 4cos(x)+sec^2(x)

\int 4 cos (x) + sec^{2} (x) d x

Frequently Asked Questions (FAQ)

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