Question

∫ln(tanx)/sin xcos x dx. 不定积分的详细步骤过程和答案,拜托大神.

Answer 1

int ln(tanx)/(sinxcosx) dx

= int ln(tanx)*cosx/sinx*1/cos^2x dx

= int ln(tanx)*1/tanx d(tanx)

= int ln(tanx) d[ln(tanx)]

= (1/2)[ln(tanx)]^2 C