Integrate: sin square root x

Answers (1)

Solution:  

       \ \ I=int sin sqrtxhspace0.1cmdxhspace0.5cm Let hspace0.5cmsqrtx=t \ \ frac12sqrtxdx=dtRightarrow dx=2sqrtxdt=2tdt\ \ I=int 2t sin t dt=2[t(-cos t)+sin t]+c\ \ I=2[-sqrtxcos sqrtx+sin sqrtx]+c

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