Q. 495.0( 2 Votes )

Evaluate the foll

Answer :

Let


Put sin x = t


cos x dx = dt (Differentiating both sides)


When x = 0, t = sin 0 = 0



So, the new limits are 0 and 1.


Substituting this in the original integral,




We will use integration by parts.


Recall


Here, take f(t) = tan-1t and g(t) = t



Now,




Substituting these values, we evaluate the integral.




We can write,





Recall







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