帮忙算一下∫(x²-9)½/xdx 要过程

2024-12-04 20:40:32
推荐回答(1个)
回答1:

x=3seca
√(x²-9)=3tana
dx=3tanasecada
原式=∫3tana*3tanasecada/3seca
=∫3tan²ada
=3∫(sec²a-1)da
=3tana-3a+C
=√(x^2-9)-3arcsec(x/3)+C