evaluate-the-definite-integral-1edxxlnx29-int1e-fracdxxsqrtln-x2-9-express-your-

Question

Evaluate the definite integral ∫1edxxln⁡2x+9\$$int_1$$^{e}\frac{dx}{x\sqrt{\$$ln^2x+9$$}}. Express your answer in terms of logarithms.

Accepted Answer

ln⁡(1+103)\ln\left(\frac{1 + \sqrt{10}}{3}\right)

Answer

ln⁡(31+10)\ln\left(\frac{3}{1+\sqrt{10}}\right)

Answer

ln⁡(10−13)\ln\left(\frac{\sqrt{10}-1}{3}\right)

Answer

ln⁡(1+102)\ln\left(\frac{1+\sqrt{10}}{2}\right)

Evaluate the definite integral ∫1edxxln2x+9\(\int\)_1^{e}\(\frac{dx}{x\sqrt{\ln^2x+9}\)}. Express your answer in terms of logarithms.