Integral Calculus and Infinite Series
Question 1 of 30
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Evaluate the definite integral by converting it into a series and summing the resulting series exactly:
\[ \int_{0}^{1}\frac{\ln(1+x)}{x}\,dx \]
Select one option.
A
\(\dfrac{(\ln 2)^2}{2}\)
B
\(\dfrac{\pi^2}{8}\)
C
\(\dfrac{\pi^2}{12}-\dfrac{(\ln 2)^2}{2}\)
D
\(\dfrac{\pi^2}{12}\)
E
\(\ln 2\)
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