求解不定积分：∫(x^5)/(Cx+D)dx,C,D 为常数.

题目

求解不定积分：∫(x^5)/(Cx+D)dx,C,D 为常数.

答案

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...