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Husain Sodawala Grade:
        

Integrate log(1+Xsquare)/(1+Xsquare)  from zero to infinity

7 years ago

Answers : (1)

Anurag Kishore
37 Points
										

Hi


I will take question as


 0infinity∫ log(1+x2)/(1+x2).dx


put x=tan@


=> dx = sec2@ d@


0pi/2∫ log (sec2@) d@


= -2 0pi/2∫ log cos@ d@ = -2 (-pi/2 log2) = pi log2


because


0pi/2∫ log cosx dx = -pi/2 . log2


Solve it by properties of integral and check if you find problem then consult


 


 


Thanks


Anurag Kishore

7 years ago
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