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Question: Answered & Verified by Expert
01x1-x5dx=.
MathematicsDefinite IntegrationMHT CETMHT CET 2019 (Shift 2)
Options:
  • A 15
  • B 142
  • C 113
  • D 1342
Solution:
2108 Upvotes Verified Answer
The correct answer is: 142
Let = l=01x1-x5dx
Put 1-x=tx=1-t
-dx=dt
dx=-dt
When x=0', then t=1 and
When x=1,thent=0
l101-tt5-dt=01t5-t6dt
=t66-t77=1616-1717
=7-642=142

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