求不定积分∫(2x-1)2dx

问题描述:

求不定积分∫(2x-1)2dx

答:
∫ (2x-1)² dx
=(1/2) ∫ (2x-1)² d(2x-1)
=(1/2)*(1/3)(2x-1)³+C
=(2x-1)³/6+C