求解不定积分:∫(x^5)/(Cx+D)dx,C,D 为常数.
问题描述:
求解不定积分:∫(x^5)/(Cx+D)dx,C,D 为常数.
答
求解不定积分:∫(x⁵)/(Cx+D)dx,C,D 为常数.当c≠0时:∫{[x⁵/(cx+d)]dx=∫[(1/c)x⁴-(d/c²)x³+(d²/c³)x²-(d³/c⁴)x+(d⁴/c⁵)]-d⁵/[c⁴...