evaluate:

Let us assume …......equation 1


By property, we know that


………………………equation 2


Adding equations 1 and 2, we get,


+


We know


Thus




We know that


If f(2a – x) = f(x)


than


thus


since sinx = sinπ – x


Now


By property, we know that





since 1/cosx = secx



since tan2x + 1 = sec2x


Let tanx = y


Sec2xdx = dy


Thus


For



y = ∞


For x = 0


tan 0 = y


y = 0


thus substituting in








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