What is the integral of log_{x}(x) ?

The integral of log_{x}(x) is x+C

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integral of log_{x}(x)

\int lo g_{x} (x) d x

x + C

Solution steps

\int lo g_{x} (x) d x

Apply log rule:

lo g_{a} (a) = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

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f (x) = \frac{4 x ^{2} + 8 x + 8}{x}

\frac{\partial}{\partial y} (x e^{x})

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

n = 2 \sum \infty \frac{2}{3 ^{n}}