Evaluate ∫x−$$231+x2/3$$−$$1$$.

Correct option is 33tan−1⁡x1/3+C

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Evaluate $\int x^{\frac{- 2}{3}} {(1 + x^{2 / 3})}^{- 1}$ .

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tan−1⁡x1/3+C

tan−1⁡x2/3+C

3tan−1⁡x1/3+C

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detailed solution

Correct option is C

Here, P = -1, is a negative interger and m and n are rational numbers.Put x=t3⇒dx=3t2dtSo, I=∫t−21+t2−13t2dt=∫3dt1+t2=3tan−1⁡x1/3+C

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Evaluate ∫x−231+x2/3−1.

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Evaluate $\int x^{\frac{- 2}{3}} {(1 + x^{2 / 3})}^{- 1}$ .