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Jithu A Prasad Grade: 12
        

integrate


∫1 ⁄ x(1+x2)1/2dx

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Jithu Prasad


∫1 ⁄ x(1+x2)1/2dx



∫x ⁄ x2(1+x2)1/2dx



let (1+x2) =t2


xdx =tdt


so intigral become


∫1/t2 -1  dt 


1/2 ln|t-1|/|t+1|  + C


1/2 ln|(1+x2)1/2-1|/|(1+x2)1/2+1|  + C


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Badiuddin


 

7 years ago
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