If \int \sqrt{\frac{x}{a^3-x^3}} \dx=g(x)+c, then g(x) is equal to :

Correct Answer is : 23sin−1(√x3a3)

\frac{2}{3} \sin ^{-1} (\frac{x^3}{a^3})

\frac{2}{3} \sin ^{-1} (\sqrt{\frac{x^3}{a^3}})

\frac{2}{3} \cos ^{-1} (\frac{x}{a})

EAMCET Engineering 2006 Solved Paper

Section: Mathematics

Question : 152 of 160

Marks: +1, -0

If ∫√‌

a3−x3

‌dx=g(x)+c, then g(x) is equal to :

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