高数题我感觉错了

2025-05-10 12:08:28
推荐回答(1个)
回答1:

∫(0,x²)sin5tdt
=-(1/5)∫(0,x²)dcos5t
=-(1/5)[cos5x²-1]
用洛必达
=lim(x-->0)【-1/5×(-10xsin5x²)】/4x³
=lim(x-->0)【sin5x²】/2x²
=(5/2)lim(x-->0)【sin5x²】/5x²
=5/2