Definite Integrals

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(1) Calculation of ( 100 30 ) ⋅ 101 ⋅ ∫ 0 1 x 30 ⋅ ( 1 − x ) 70 d x \displaystyle \binom{100}{30}\cdot 101\cdot \int_{0}^{1}x^{30}\cdot (1-x)^{70}dx


The answer is 1.

Jagdish Singh by jagdish singh , 33, India

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1 solution

Incredible Mind
Jan 19, 2015

just use beta fcn

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Well, I don't know beta function. So, I used repeated IBP.

Kartik Sharma - 6 years, 4 months ago

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