Evaluate the following integral:

Let us assume .....equation 1


By property, we know that



……..equation 2


Adding equation 1 and 2


Thus



We know




Since and



……equation 3


Let tan2x = y


Differentiating both sides


2 tanxsec2xdx = dy


For



y = ∞


For



y = 0


substituting values in equation 3



since





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