求sinx分之1的不定积分的过程
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求sinx分之1的不定积分的过程
=∫[sin^2(x/2)+cos^2(x/2)]/2sin(x/2)cos(x/2)dx
=∫[tan(x/2)+cot(x/2)]d(x/2)
=—ln|cos(x/2)|+ln|sin(x/2)|+C
=ln|tan(x/2)|+C
=∫[tan(x/2)+cot(x/2)]d(x/2)
=—ln|cos(x/2)|+ln|sin(x/2)|+C
=ln|tan(x/2)|+C