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JEE Advanced King's Invariance — practice questions

2 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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$\displaystyle\int_0^{\pi/2} \dfrac{dx}{1 + \tan^3 x} = ?$Given $\displaystyle\int_0^{\pi/2} \dfrac{ in^n x}{ in^n x + \cos^n x}\, dx$, the value is: