Try another version of this question Integrate the given series expansion of `f` term-by-term from zero to `x` to obtain the corresponding series expansion for the indefinite integral of `f`. `f(x) = (-2 x)/(1+x^2)^2 = sum_(n=0)^(oo) (-1)^n 2 n x^(2 n - 1)`
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
`int_0^x f(t) dt = sum_(n=1)^(oo)`
Be sure your variables match those in the question `(-1)^n x^(2 n)`