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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
Question
Find:

$\int\frac{\text{dx}}{\sqrt{9-4\text{x}^2}}$

✓

Answer

$\int\frac{\text{dx}}{\sqrt{9-4\text{x}^2}}=\int\frac{\text{dx}}{\sqrt{3^3-(2\text{x})^2}}$
$=\frac{1}{2}\sin^{-1}\Big(\frac{2\text{x}}{3}\Big)+\text{c}$

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