題目 6. (10%) Use ∑n=1∞1n2=π26\sum_{n=1}^{\infty}\dfrac{1}{n^2}=\dfrac{\pi^2}{6}∑n=1∞n21=6π2 to evaluate the integral ∫01ln(1+x)x dx.\int_{0}^{1}\frac{\ln(1+x)}{x}\,dx.∫01xln(1+x)dx. 解答
