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\int\frac{x}{4-x^2}dx

Integral of x/(4-1x^2)

Answer

$C_0-\ln\left|\frac{4-x^2}{2}\right|$

Step-by-step explanation

Problem

$\int\frac{x}{4-x^2}dx$
1

Solve the integral $\int\frac{x}{4-x^2}dx$ by trigonometric substitution using the substitution

$\begin{matrix}x=2\sin\left(\theta\right) \\ dx=2\cos\left(\theta\right)d\theta\end{matrix}$

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Answer

$C_0-\ln\left|\frac{4-x^2}{2}\right|$