Homework Statement
a) Solve:^{Pi}_{0}\int\frac{sin(x)}{1 + cos²x}dx
b) Proof that for each f, continuous in [0, a], ^{a}_{0}\int{f(x)}dx = ^{a}_{0}\int{f(a-x)}dx
c) Use a and b to solve ^{Pi}_{0}\int\frac{x sin(x)}{1 + cos²x}dx
Homework Equations
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The Attempt at a Solution
a) t =...