求正弦曲线的函数导数及积分表达式?

2025-03-07 03:18:16
推荐回答(1个)
回答1:

函数式y=½A·[sin(πx/6-π/2)+1]=½A·[1-cos(πx/6)]

y'=½A·π/6·sin(πx/6)=(Aπ/12)·sin(πx/6)

∫½A·[1-cos(πx/6)]dx=½Ax-(3/π)sin(πx/6)+C