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Question

The value of dxx13(x61) is

A
log(|x61x6|)+x6+x12+c
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B
16log(|x61x6|)+16x6+14x12+c
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C
16(log|x61x6|+x6+12x12)+c
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D
16log(|x61x6|)+c
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Solution

The correct option is C 16(log|x61x6|+x6+12x12)+c
1x7(x12)[11/x6]dx
1/x6=t
6x7dx=dt
1/x7dx=dt6
t2dt6(1t)=+1/6t2(t1)dt
=1/6(t21)+1t1dt
=1/6(t+1)+1(t1)dt
=1/6[[t22+t]+log (t1)]+c
1/6[x122+x6+log x61x6]+c

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