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(Solved):   Evaluate the indefinite integral: \( \int \frac{1}{x^{2} \sqrt{4-x^{2}}} d x \) ...


Evaluate the indefinite integral: \( \int \frac{1}{x^{2} \sqrt{4-x^{2}}} d x \)

 

Evaluate the indefinite integral: \( \int \frac{1}{x^{2} \sqrt{4-x^{2}}} d x \)


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Solution : we have,² I=?1x24?x²dx Let as make a trigonometric substitution, x=2 sin?? So, dx= 2cos?? d(?) [ Since, ddx{sin?x}=cos?x]
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