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Question

Integrate:dt6t1

A
16ln(6t1)+C
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B
112ln(6t1)+C
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C
16ln(12t1)+C
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D
61ln(6t1)+C
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Solution

The correct option is A 16ln(6t1)+C
Assume,
u=6t1
dudt=6du6=dt
I=dt6t1=16duu
=16ln |u|+C
=16ln(6t1)+C

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