Question

求(t-1)/t*(t+1)的不定积分

Answer 1

∫ (t - 1)/[t(t + 1)] dt

= ∫ dt/(t + 1) - ∫ (t + 1 - t)/[t(t + 1)] dt

= ∫ dt/(t + 1) - ∫ 1/t dt + ∫ dt/(t + 1)

= 2ln(t + 1) - ln(t) + C