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Question

dx(x3)(4/5)(x+1)6/5=

A
((x3)(x+1)(1/5))+c
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B
54(x3x+1)1/5+c
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C
(x3x+1)1/5+c
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D
(x3)6/5(x+1)4/5+c
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Solution

The correct option is B 54(x3x+1)1/5+c
I=dx(x3)4/5(x+1)6/5Put t=x3x+1dt=4(x+1)2dx.I=14dtt4/5=14(t4/5+14/5+1)=54 t1/5=54(x3x+1)1/5

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