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∫ [x 2 /(x 4 +1)]d[(x-1)/x]

∫ [x2 /(x4+1)]d[(x-1)/x]

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear upasana,

d[(x-1)/x]=1/x2dx
so the integral becomes integral of 1/1+x^4.

If we integrate this we get= 1/(4 Sqrt(2))(-2ArcTan(1-Sqrt(2)x) + 2ArcTan(1+Sqrt(2)x) - Ln| -1 +

Sqrt(2)x-x^2| + Ln| 1 + Sqrt(2)x+x^2|)

You can check from http://integrals.wolfram.com/index.jsp

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Sagar Singh

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