integration by substitution

Question

Transform this antiderivative problem using the substitution u = 5x^2 + 1.

∫2x/5x^2+1 dx

Your final answer should be a new antiderivative problem written in terms of u.

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Answer 1

∫2x*dx/(5x^2+1)

u=5x^2+1

du/5=2xdx

∫du/5u