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Evaluate intcos sqrt(x)dx...

Evaluate `intcos sqrt(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`2[sqrt(x)sinsqrt(x)+cossqrt(x)]+C`
`"Put " sqrt(x)=t" and "(1)/(2sqrt(x))dx=dt" or " dx=2t dt`
` :. intcos sqrt(x)dx=int2tcost dt`
`=2[tsint-intsint dt]`
`=2t sint+2cost+C`
`=2[sqrt(x)sinsqrt(x)+cossqrt(x)]+C`
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