1⼀根号下(8+2x–x2)的不定积分

2024-11-21 13:30:55
推荐回答(1个)
回答1:

∫dx/√(8+2x-x^2) = ∫dx/√[9-(x-1)^2]
= (1/3)∫dx/√{1-[(x-1)/3]^2}
= ∫d[(x-1)/3]/√{1-[(x-1)/3]^2}
= arcsin[(x-1)/3]+C