∫x⼀【(x^2+1)(x^2+4)】dx

2025-06-28 00:51:23
推荐回答(2个)
回答1:

∫x/【(x^2+1)(x^2+4)】dx
=½ ∫1/[(x²+1)(x²+4)]d(x²)
=1/6 ∫[1/(x²+1) -1/(x²+4)] d(x²)
=1/6 [ln(x²+1) -ln(x²+4)]+C
=1/6 ln[(x²+1)/(x²+4)] +C

回答2: