#integral with inverse trig

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lone tigerBOT
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hazy matrixBOT
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veganmf

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hazy matrixBOT
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veganmf

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neon valley
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Hm, let's see. We have:
tan(arctan(x) - arctan(2x)) = (x - 2x)/(1 + x(2x)) = -x/(1 + 2x^2)
So, the expression under the integral is -dx/(1 + 2x^2), which integrates to -π/(2√(2)) = -√(2)π/4. So yeah, correct.

reef crescentBOT
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@snow thorn has given 1 rep to @neon valley