If I= d x (a^ 2 -b^ 2 x^ 2 )^ 3 / 2
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(I=\int \frac{d x}{\left(a^{2}-b^{2} x^{2}\right)^{3 / 2}}\)
- \(\frac{\mathrm{x}}{\sqrt{\mathrm{a}^{2}-\mathrm{b}^{2} x^{2}}}+\mathrm{c}\)
- \(\frac{\mathrm{x}}{\mathrm{a}^{2} \sqrt{\mathrm{a}^{2}-\mathrm{b}^{2} x^{2}}}+\mathrm{c}\)
- \(\frac{a x}{\sqrt{a^{2}-b^{2} x^{2}}}+c\)
- none of these
Answer
(B) x a ^ 2 a ^ 2 - b ^ 2 x^ 2 + c
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