- Show that
`qquad int_(-a)^a (f(x))/(f(x) + f(-x))\ dx = int_(-a)^a (f(-x))/(f(x) + f(-x))\ dx`. (2 marks)
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- Hence, or otherwise, evaluate
`qquad int_(-1)^1 (e^x)/(e^x + e^(-x))\ dx`. (2 marks)
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Calculus, EXT2 C1 2012 HSC 11e
Evaluate `int_0^1 (e^(2x))/(e^(2x) + 1)\ dx`. (3 marks)