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Question

Solve:  ∫[2x/(x4+1)] dx

A sin^-1 x^2 + c Correct Answer Incorrect Answer
B tan^-1 x^2 + c Correct Answer Incorrect Answer
C cot^-1 x^2 + c Correct Answer Incorrect Answer
D cos^-1 x^2 + c Correct Answer Incorrect Answer

Solution

Let x2 = t and 2x dx = dt => ∫[dt/(t2+1)] dt => tan-1(t) + c => tan-1 x2 + c

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