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Popular >

integral of f(2x)

Solution

\int f (2 x) d x

Solution

f x^{2} + C

Solution steps

\int f \cdot 2 x d x

Take the constant out:

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

= 2 f \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= f x^{2}

Add a constant to the solution

= f x^{2} + C

Popular Examples

integral of (6x^5+2)(2x^6+4x)^4

\int (6 x^{5} + 2) (2 x^{6} + 4 x)^{4} d x

integral of sec^2(x)+sin(x)

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

integral of (ln(3x))/(4x)

\int \frac{ln ( 3 x )}{4 x} d x

integral of x^2(x^3-1)

\int x^{2} (x^{3} - 1) d x

integral of (cos(ln(x)))/(2x)

\int \frac{cos ( ln ( x ) )}{2 x} d x

Frequently Asked Questions (FAQ)

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