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Q.

∫ex(ex−1) (ex+2) dx=

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a

13 log |ex−1ex+2|+C

b

12 log |ex+1ex−2|+C

c

15 log |ex−1ex+2|+C

d

16 log |ex−1ex+2|+C

answer is A.

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Detailed Solution

∫ex(ex−1)(ex+2) dx                ex=t⇒exdx=dt ∫1(t−1)(t+2)dt=13∫1(t−1)-1(t+2)dt =13log|t−1t+2|+c                                 =13log|ex−1ex+2|+c
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