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Popular >

integral of ln(4x)

Solution

\int ln (4 x) d x

Solution

x ln (4 x) - x + C

Solution steps

\int ln (4 x) d x

Apply Integration By Parts

: x ln (4 x) - \int 1 d x

= x ln (4 x) - \int 1 d x

\int 1 d x = x

= x ln (4 x) - x

Add a constant to the solution

= x ln (4 x) - x + C

Popular Examples

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\int_{1}^{12} (0.5)^{x} d x

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\frac{d}{d x} (\frac{1}{1 - cos ( x )})

integral of (2x)/(x^2-4x+13)

\int \frac{2 x}{x ^{2} - 4 x + 13} d x

derivative of xe^xcot(x)

\frac{d}{d x} (x e^{x} cot (x))

derivative of-10x+3cos(x)

\frac{d}{d x} (- 10 x + 3 cos (x))

Frequently Asked Questions (FAQ)

What is the integral of ln(4x) ?
The integral of ln(4x) is xln(4x)-x+C