¡Ò(sint)^2dt= - .

½á¹ûΪ¡Ò(sint)^2dt=¡Ò[1-cos2t)/2]dt=t/2+(sin2t)/4+c¡£¹ý³ÌÈçͼ£º¸Ã»ý·ÖΪ²»¶¨»ý·Ö£¬Ö÷ÒªÊÇÒª±äsint^2£¬¡Ò(sint)^2dt=¡Ò[1-...


sint^2dtµÄ»ý·ÖÔõôËã?

sint^2dtµÄ»ý·Ö¼ÆËã¹ý³ÌÈçÏ£º¸ù¾Ý±¶½Ç¹«Ê½cos(2t) = 1 - 2(sint)^2 ¡Ò (sint)^2dt =¡Ò [ 1/2 - 1/2 cos(2t) ] dt =¡Ò 1/2 dt - 1/4¡Ò cos(2t...


¡Ò(sint)^2dtÕâ¸öÔõÑùËã¡­¿ÉÒÔ¸ø¹ý³Ìô

ԭʽ=¡Ò(1-cos2t)/2dt ¡¾±¶½Ç¹«Ê½¡¿=(1/2)¡Òdt-(1/4)¡Òcos2td(2t)¡¾·ÖÏ´Õ΢·Ö¡¿=(1/2)t-(1/4)sin2t+C


(sinx)^2ºÍsin^2(x)Çø±ðÊÇʲô?

+o((t-t0)^n)£¬ÆäÖÐt0Êdz£Êý£¬ËµÃ÷sint^2ÔÚÿһ¸öµãµÄ¶àÏîʽ±í´ïʽ¶¼ÊDz»Í¬µÄ¡£µÃµ½¡Òsint^2dt=¡Ò[sint0^2+2t0(t-t0)sin(t0^2+¦Ð...


¡ÒsintdtÔõôËã?

J=¡Òsin2tdt¶ø¡Ò1dt=t¡Òcos2tdt=12¡Òcosudu(u=2t)=12sinu=sintcostI+J=tIJ=sintcostËùÒÔ2I=t+sintcostI=t2+12sintcost+C2J=...


sint^2dt»ý·ÖÔõô»ý°¡

Èç¹ûÌâÄ¿ÊÇ (sint)^2dtµÄ»ý·Ö ¸ù¾Ý±¶½Ç¹«Ê½cos(2t) = 1 - 2(sint)^2 ¡Ò (sint)^2dt =¡Ò [ 1/2 - 1/2 cos(2t) ] dt =¡Ò 1/2 dt - 1/4¡Ò cos(...


¡Ò(sint)^2dt ÔõôËã,Ï£ÍûÓÐÏêϸ¹ý³Ì

¡Ò(sint)^2dt=¡Ò(1-cos2t)/2 dt=t/2-¡Òcos2t d(2t)/4=t/2-sin(2t)/4+C


ÇëÎÊsintµÄ2´Î·½Óë sin(t^2) µÄ²»¶¨»ý·ÖÒ»ÑùÂð?

¡Ò(sint)^2dt=¡Ò[1-cos2t)/2]dt=t/2+(sin2t)/4+c¡Òsin(t^2)dt=¡Ò(sinu)/(2¡Ìu)du=¡Ò[sint/(2¡Ìt)]dt (ÀûÓÃÒ»½×΢·ÖÐÎʽµÄ²»±äÐÔ)Õâ¸öÊÇ»ý²»³öÀ´...


Ϊʲô¡Ò(ÉÏÏÞxÏÂÏÞ0)sint ^2 dtÇ󵼺óµÈÓÚsinx^2...

ÁîµÄÔ­º¯ÊýΪ¼´£¬ÔòËùÒÔÁîsin2tµÄÔ­º¯ÊýΪF(t),¼´F¡ä(t)=sin2t£¬Ôò¡Ò0xsin2tdt=F(t)|0x=F(x)F(0)ËùÒÔ(¡Ò0xsin2tdt)¡ä=...


µÚ¶þÀà»»Ôª»ý·Ö·¨µÄÉîÈëÀí½âÊÇʲô?

\frac{x^2dx}{\sqrt {a^2-x^2}}=\int \frac{a^2(sint)^2}{\sqrt {a^2-a^2(sint)^2}}acostdt=\int a^2(sint)^2dt=a...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷