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Q. If $\int \frac{ dx }{\sqrt{ a ^{2}- x ^{2}}}=\sin ^{-1} \frac{ x }{3}+ c$, then $a =$

Integrals

Solution:

$\because \int \frac{ dx }{\sqrt{ a ^{2}- x ^{2}}}=\sin ^{-1} \frac{ x }{ a }+ c$
But it is given that $\int \frac{d x}{\sqrt{a^{2}-x^{2}}}=\sin ^{-1} \frac{x}{3}+c$