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Grade Upto college levelIntegral Calculus

sir, definite integral (0 to pai/2 logsinx dx) answer possible hai ya nahi?

Profile image of Rakesh  Kumar
15 Years agoGrade Upto college level
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2 Answers

Profile image of vikas askiitian expert
15 Years ago

ans is -(pi/2)log2  &  is possible

approve if u like it

Profile image of Souradeep Majumder
ApprovedApproved Tutor Answer15 Years ago

yah answer is possible........

 

log sinx+ log cos=log(sinxcox)+logsin2x-log2

 

2x=z

2dx=dz

limit is 0 to pi...........

adjust 1/2 which is comes from 2dx=dz with pi then limit gonna be 0 to pi/2 integration log(sinz)dz which is log(sinx)dx=i

 

2i=i-log2integration o to pi/2 dx

 

then i think you can easily solve......... hobei amar

 

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