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