（１）
∫^3\(\sqrt{\quad}\)x{x^(-\(\frac{3}{2}\))+x^(-6)}ｄｘ
＝∫ｘ^(\(\frac{1}{3}\))｛x^(-\(\frac{3}{2}\))+x^(-6)}ｄｘ
＝∫｛ｘ^(\(\frac{1}{3}\))・x^(-\(\frac{3}{2}\))＋ｘ^(\(\frac{1}{3}\))・x^(-6)}ｄｘ
＝∫｛ｘ^(\(\frac{1}{3}\)-\(\frac{3}{2}\))＋ｘ^(\(\frac{1}{3}\)-6)}ｄｘ
＝∫｛ｘ^(-\(\frac{7}{6}\))＋ｘ^(-\(\frac{17}{3}\))}ｄｘ
＝－６ｘ^(-\(\frac{1}{6}\))－３／１４・ｘ^(-\(\frac{14}{3}\))＋Ｃ

（２）
∫{(logx\()^{2}\)}/xｄｘ
logx＝ｔとおくと、
１／ｘ・ｄｘ＝ｄｔより、
∫{(logx\()^{2}\)}/xｄｘ
＝∫{(ｔ\()^{2}\)}ｄｔ
＝１／３・ｔ^3＋Ｃ
＝１／３・(logx\()^{3}\)＋Ｃ