这道数学题怎么做啊,帮帮我吧(S是积分符号)1.S tan^4x dx2.S (arcsin(x^(1/2)))/(x^(1\2))dx
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![这道数学题怎么做啊,帮帮我吧(S是积分符号)1.S tan^4x dx2.S (arcsin(x^(1/2)))/(x^(1\2))dx](/uploads/image/z/5014198-46-8.jpg?t=%E8%BF%99%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%E6%80%8E%E4%B9%88%E5%81%9A%E5%95%8A%2C%E5%B8%AE%E5%B8%AE%E6%88%91%E5%90%A7%28S%E6%98%AF%E7%A7%AF%E5%88%86%E7%AC%A6%E5%8F%B7%291.S+tan%5E4x+dx2.S+%28arcsin%28x%5E%281%2F2%29%29%29%2F%28x%5E%281%5C2%29%29dx)
这道数学题怎么做啊,帮帮我吧(S是积分符号)1.S tan^4x dx2.S (arcsin(x^(1/2)))/(x^(1\2))dx
这道数学题怎么做啊,帮帮我吧(S是积分符号)
1.S tan^4x dx
2.S (arcsin(x^(1/2)))/(x^(1\2))dx
这道数学题怎么做啊,帮帮我吧(S是积分符号)1.S tan^4x dx2.S (arcsin(x^(1/2)))/(x^(1\2))dx
1题=S tan^2x sin^2x dtanx=S tan^4x/(1+tan^2x)dtanx
=tan^3x/3-tanx+x+C(C为常数)
2题:令x=sin^2t
原式=S 2tcost dt=2tsint+2cost=2[arcsin(x^0.5)*x^0.5+(1-x)^0.5]