Q26 of 45 Page 1

Evaluate:

OR


Evaluate:

Let

Sin x = t cos x dx = dt



Using integration by parts,



{limits are 0 to 1}





Hence the required value is


OR


Let I =


Here, the denotes 90




Adding both the above-mentioned equations,




Putting sin2x =t


2 sinx . cos x dx = dt



As x to 0, t to 0


As x to 90, t to 1








Limits are 0 to 1.






Hence the required integrated value is
 .


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