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Problem of the day.

One handpicked JEE problem, refreshed daily. Pick a topic, try it honestly, then check your work.

CalculusHard
Evaluate: Rdxdy1x2y2 where R:x2+y21.\text{Evaluate: } \iint_R \frac{dx\,dy}{\sqrt{1-x^2-y^2}} \text{ where } R: x^2+y^2 \leq 1.