Definite Integration Question 396

Question: $ \int_0^{1}{{{(1-x)}^{9}}dx=} $

[SCRA 1979]

Options:

A) 1

B) $ \frac{1}{10} $

C) $ \frac{11}{10} $

D) 2

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Answer:

Correct Answer: B

Solution:

Required value = $ [ \frac{-{{(1-x)}^{10}}}{10} ]_0^{1}=\frac{1}{10} $ .