$$ \int \! \sqrt{\frac{x}{x^3 - a^3}} \, dx $$
I solved this integral by substitution method by taking $t= x^{3/2}$. Is there any other method to solve this problem?
2026-03-30 01:44:52.1774835092
Alternate method to solve this integral
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Hint: substitute $$ x=a\sec ^\frac{2}{3} \theta$$