定积分f(x)里含有x的如何求导

2025-05-17 07:11:03
推荐回答(1个)
回答(1):

换元法:u = tx²,du = x² dt
t = 0 → u = 0
t = sinx → u = x²sinx
h(x) = ∫(0→sinx) ƒ(tx²) dt = (1/x²)∫(0→x²sinx) ƒ(u) du
接着求导可以了