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Question

Question: \(\int _ { 0 } ^ { 1 } ( 1 - x ) ^ { 9 } d x =\)...

01(1x)9dx=\int _ { 0 } ^ { 1 } ( 1 - x ) ^ { 9 } d x =

A

1

B

110\frac { 1 } { 10 }

C

1110\frac { 11 } { 10 }

D

2

Answer

110\frac { 1 } { 10 }

Explanation

Solution

Required value = [(1x)1010]01=110\left[ \frac { - ( 1 - x ) ^ { 10 } } { 10 } \right] _ { 0 } ^ { 1 } = \frac { 1 } { 10 } .