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Evaluate ∫ sin√x/√x dx - Mathematics and Statistics

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Question

Evaluate: `intsinsqrtx/sqrtxdx`

 

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Solution

`Let I=int(sinsqrtx/sqrtx)dx`

`Let sqrtx=t`

`1/(sqrtx)=dt/dx`

`1/sqrtxdx=2dt`

`therefore I=2intsintdt`

`=-2cost+C`

`=-2cos(sqrtx)+C`

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2016-2017 (March)

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