Type a math problem

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Type a math problem

Evaluate

\ln(|x|)+С

$ln(∣x∣)+С$

Solution Steps

\int{ \frac{1}{x} }d x

$∫x1 dx$

Use \int \frac{1}{x}\mathrm{d}x=\ln(|x|) from the table of common integrals to obtain the result.

Use $∫x1 dx=ln(∣x∣)$ from the table of common integrals to obtain the result.

\ln(|x|)

$ln(∣x∣)$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

If $F(x)$ is an antiderivative of $f(x)$, then the set of all antiderivatives of $f(x)$ is given by $F(x)+C$. Therefore, add the constant of integration $C∈R$ to the result.

\ln(|x|)+С

$ln(∣x∣)+С$

Differentiate w.r.t. x

\frac{1}{x}

$x1 $

Graph

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\ln(|x|)

Use \int \frac{1}{x}\mathrm{d}x=\ln(|x|) from the table of common integrals to obtain the result.

\ln(|x|)+С

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

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