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Finding the definite integral $int_1^e frac{dx}{xsqrt{1+ln^2x}}$

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up vote 6 down vote favorite 3 So I have the following problem: $$int_1^{e} frac{1}{xsqrt{1+ln^2x}}dx $$ Can somebody comfirm that the integral of this is $$ln|sqrt{1+ln^2x}+ ln x|+C$$ and I that the anwser is $$ln |sqrt{2}+1|$$ that is aproximately 0.8814 Does anyone else got the same anwser? calculus integration definite-integrals closed-form share | cite | improve this question edited yesterday asked Nov 18 at 0:30 Student123 36 3 ...