Question

Найдите интеграл $intlimits^{} , frac{ t^{2}dt }{3+ 2t^{3} }$

Answer 1

v=3+2t³⇒dv=6t²dt⇒t²dt=dv/6
Sdv/6v=1/6Sdv/v=1/6*lnv=1/6*ln(3+2t²)+C