求解此高数题...

2024-01-15 17:51:25
推荐回答(1个)
回答1:

∫dx/(x³√(1+x²))=-1/2∫d(1/x²)/√(1+x²)
=-1/2∫dt)/√(1+1/t²) 设1/x²=t
=-1/2∫tdt/√(1+t²)
=-1/4∫dt²/√(1+t²)
=-1/4∫d(1+t²)/√(1+t²)
=-√(1+t²)/2
=-√(1+1/x^4)/2