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Integrate: sin square root x .

Answers (1)

D Deependra Verma

Solution: We have ,

$I=int sinsqrtxhspace0.1cmdx$

Put , $x^frac12=tRightarrow frac12x^1/2dx=dtRightarrow dx=2sqrtxdt=2tdt$

$herefore$ $I=2int (tsin t)dt=2[-tcos t+sin t]+c$

$I=2[-sqrtxcos sqrtx+sin sqrtx]+c.$

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