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Question

Assertion :Statement-1: x21(x2+1)x4+1dx=sec1x2+1x2+C Reason: staement-2: dttt2a=1asec1ta+C

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is D Both Assertion and Reason are incorrect
Let I=x21(x2+1)x4+1dx=11/x2(x+1/x)x2+1/x2dx
Put t=x+1dt=dx
I=dttt22=12sec1t2+c (Using reason)
=12sec1x2+1x2+c

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