A calculus problem by A Former Brilliant Member

Calculus Level 4

5050×01(1x50)100dx01(1x50)101dx=? \large 5050 \times \dfrac{\displaystyle \int_0^1 (1-x^{50})^{100} \, dx }{\displaystyle \int_0^1 (1-x^{50})^{101} \, dx } = \, ?

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