Evaluate the definite integral? Integral [(arctanx)^7/(1+x^2)]dx

[From: ] [author: ] [Date: 11-11-21] [Hit: ]

Let u = arctanx
du = dx/(1+x^2)

∫(arctanx)^7 dx/(1+x^2) = ∫u^7du = (u^8)/8 + C
= [(arctanx)^8]/8 + C

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