大一数学微积分,求{(1-x)⼀(1+x)}^1⼀2的不定积分

2024-11-18 20:23:12
推荐回答(1个)
回答1:

解:
∫√[(1-x)/(1+x)]dx
=∫√[(1-x)²/(1+x)(1-x)]dx
=∫[(1-x)/√(1-x²)]dx
=∫[1/√(1-x²)]dx -∫[x/√(1-x²)]dx
=arcsinx +√(1-x²) +C