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tanxµÄÔ­º¯ÊýΪ-ln|cosx|+C£¬ÆäÖÐCÊÇ»ý·Ö³£Êý¡£Ô­º¯Êý¶¨Ò壺ÔÚ΢»ý·ÖÖУ¬Ò»¸öº¯Êýf(x)µÄÔ­º¯Êý£¨»ò²»¶¨»ý·Ö£©ÊÇÖ¸ÁíÒ»¸öº¯ÊýF£¨x£©


tanxµÄÔ­º¯ÊýÊÇʲô?

secxµÄÔ­º¯ÊýΪ£ºln|secx+tanx|+C ¼ÆËã²½ÖèÈçÏ£º=¡Òsecx(secx+tanx)dx/(secx+tanx)=¡Ò(sec²x+tanxsecx)dx/(secx+tanx)=¡Òd(...


tanxÊÇË­µÄÔ­º¯Êý?л?

ËùÒÔ¡Òsec2(x)dx=tan(x)+C


y=tanxµÄÔ­º¯ÊýÊÇʲô?

¡Òtanxdx=¡Òsinxcosxdx=¡Ò1cosxd(cosx)=ln|cosx|+C


y=tanxºÍy=cotxµÄÔ­º¯Êý

y=tanx=sinx/cosxY=-ln|cosx|+Cy=cosx/sinxY=ln|sinx|+C


tanxµÄÔ­º¯ÊýÔõôÇó?

tanxµÄÔ­º¯Êý¼ÆËãÈçÏ£º¡Òtanxdx =¡Òsinxdx/cosx =-¡Òd(cosx)/cosx =-ln|cosx|+C


tan xµÄÔ­º¯ÊýÊÇʲô?

tan(x/y)µ¼ÊýÊÇɶ? ? 1 ¸ö»Ø´ð tanxµÄÔ­º¯Êý?µÄһЩÒÉÎÊ? 1 ¸ö»Ø´ð tan -1(y/x)Óësin-1(y/¸ùºÅÏÂx2+y2)ÊÇ·ñÓÐÇø±ð? 1 ¸ö»Ø...


ÒÑÖªf(x)µÄÒ»¸öÔ­º¯ÊýÊÇtanx.Ôò¡Òxf'(x)dx=

Sf(x)dx = tan(x) + C.f(x) = [sec(x)]^2. Sxf'(x)dx = Sxdf(x)= xf(x) - Sf(x)dx= x[sec(x)]^2 - tan(x) - C,ÆäÖÐ,CΪÈÎÒâ³£Êý.


tanxµÄÔ­º¯Êý?µÄһЩÒÉÎÊ?

secx=1/cosx=£¨cosx£©^-1 ln|secx|=ln|£¨cosx£©^-1|=-ln|cosx| ÄãµÄ´ð°¸Ò²ÊǶԵ쬻»Ò»Ï¾ͳöÀ´ÁË


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