Calculus Examples

$\ln (x) + \ln (y x)$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (x (y x))$

Multiply $x$ by $x$ by adding the exponents.

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Move $x$ .

$\ln (x \cdot x y)$

Multiply $x$ by $x$ .

$\ln (x^{2} y)$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$