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Question

(xx5)1/5x6dx is equal to

A
524(1x41)6/5+c
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B
524(11x4)6/5+c
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C
524(1x41)6/5+c
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D
524(1+1x4)6/5+c
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Solution

The correct option is C 524(1x41)6/5+c
I=(xx5)1/5x6dx

=[x5(1x41)]1/5x6dx

=(1x41)1/5x5dx

Put 1x41=t

4x5dx=dt

So, I=14t1/5dt

=14×56t6/5+c

I=524(1x41)6/5+c

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