Question
$7-18$ Find the length of the curve.$$y=\ln \left(1-x^{2}\right), \quad 0 \leqslant x \leqslant \frac{1}{2}$$
Step 1
Step 1: The length of a curve $y=f(x)$ from $x=a$ to $x=b$ is given by the formula: $$L=\int_{a}^{b}\sqrt{1+\left(\frac{dy}{dx}\right)^{2}}dx$$ So, first we need to find the derivative of the function $y=\ln(1-x^{2})$. Show more…
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