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Evaluate: int(e^(sqrt(x))sin(e^(sqrt(x))...

Evaluate: `int(e^(sqrt(x))sin(e^(sqrt(x))))/(sqrt(x))dx`

Text Solution

Verified by Experts

Put `e^(sqrt(x))=t" or " (e^(sqrt(x)))/(sqrt(x))dx =2dt`
` :. int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x))dx=2intcost dt`
`=2 sin t +c`
`=2sin e^(sqrt(x))+c`
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