反三角函数的不定积分怎么算
- 培训职业
- 2025-05-04 02:10:46
∫arcsinxdx = xarcsinx - ∫xdarcsinx
=xarcsinx - ∫x/根号(1-x^2)dx
=xarcsinx+0.5∫1/(1-x^2)^(1/2) d(1-x^2)
=xarcsinx + (1-x^2)^(1/2) +C
∫arcsinxdx = xarcsinx - ∫xdarcsinx
=xarcsinx - ∫x/根号(1-x^2)dx
=xarcsinx+0.5∫1/(1-x^2)^(1/2) d(1-x^2)
=xarcsinx + (1-x^2)^(1/2) +C
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