数学不定积分dx⼀2+3x^2怎么写

2025-02-01 06:58:34
推荐回答(2个)
回答1:

∫[1/(2+3x²)]dx
=1/2∫[1/(1+3/2x²)]dx
=1/2·√(2/3)·∫[1/(1+3/2·x²)]d(√(3/2)x)
=(√6/6)·arctan(√(3/2)x)+C。

回答2:

S(1/(2+3x²))dx,变形成S(1/(1+m²))dm=tanm+C