求dx/sin(x)不定积分?
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求dx/sin(x)不定积分?求dx/sin(x)不定积分?求dx/sin(x)不定积分?∫(dx)/sinx=∫(dx)/[2sin(x/2)cos(x/2)]=∫[d(x/2)]/[tan(x/2
求dx/sin(x)不定积分?
求dx/sin(x)不定积分?
求dx/sin(x)不定积分?
∫(dx)/sinx
=∫(dx)/[2sin(x/2)cos(x/2)]
=∫[d(x/2)]/[tan(x/2)cos²(x/2)]
=∫[dtan(x/2)]/tan(x/2)
=ln│tan(x/2)│+C
另一种方法是
∫cscx dx=ln│cscx-cotx│+C
dx/sin(x)=ln│tan(x/2)│+C
C=-ln│tan(x/2)
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