求不定积分∫3x^2+2/x^3+2x+5dx
问题描述:
求不定积分∫3x^2+2/x^3+2x+5dx
答
∫[(3x^2+2)/(x^3+2x+5)]dx
=∫[1/(x^3+2x+5)]d(x^3+2x+5)
=ln(x^3+2x+5) +C