integrate t/(t^4 + 2) dt

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integrate t/(t^4 + 2) dt
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Hi there, again I feel this is great for solving the problem and getting the correct answer but what happens to certain terms? Like U^2 in the denominator? It just disappears from one step to another. What steps are being skipped?

oliverharsh
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How would you solve the exact same thing but with t^2 in the nominator?

maxyousofirahimi
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could you post that formula sheet separate?

isa