Question

∫x5lnxdx的不定积分求解

Answer 1

原式=∫lnx*1/6dx^6

=1/6*x^6lnx-1/6∫x^6dlnx

=(x^6lnx)/6-1/6∫x^6*1/xdx

=(x^6lnx)/6-1/6∫x^5dx

=(x^6lnx)/6-1/6*x^6/6+C

=x^6(6lnx-1)/36+C