\[ \large \int_0^1 \left (\frac {1-x^{10}}{1+x^{10}}\right)^{100} \, dx \]

Well, online math calculators and graphers can give an immediate answer on this. Also, the Taylor Series approach, though possible, is somehow too long a solution. We can also use the the approximations of trapezoidal/Simpson's rule, but it's also something very "manual".

Are there any compact ways of solving integrals similar to this? Thank you very much!

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