①∫ tan√(1+x^2)*x/√(1-x^2)dx ②∫f'(arcsinx)*1/√(1-x^2)dx①∫ tan√(1+x^2)*x/√(1-x^2)dx②∫f'(arcsinx)*1/√(1-x^2)dx
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①∫tan√(1+x^2)*x/√(1-x^2)dx②∫f''(arcsinx)*1/√(1-x^2)dx①∫tan√(1+x^2)*x/√(1-x^2)dx②∫f''(arcsinx)*1/√(1-x^
①∫ tan√(1+x^2)*x/√(1-x^2)dx ②∫f'(arcsinx)*1/√(1-x^2)dx①∫ tan√(1+x^2)*x/√(1-x^2)dx②∫f'(arcsinx)*1/√(1-x^2)dx
①∫ tan√(1+x^2)*x/√(1-x^2)dx ②∫f'(arcsinx)*1/√(1-x^2)dx
①∫ tan√(1+x^2)*x/√(1-x^2)dx
②∫f'(arcsinx)*1/√(1-x^2)dx
①∫ tan√(1+x^2)*x/√(1-x^2)dx ②∫f'(arcsinx)*1/√(1-x^2)dx①∫ tan√(1+x^2)*x/√(1-x^2)dx②∫f'(arcsinx)*1/√(1-x^2)dx
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=∫tan√(1+x^2)d √(1+x^2)
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=∫f'(arcsinx)d(arsinx)
=f(arcsinx)+C
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这道题为什么第二步的+到了第三步变成了-1.tan(x/2+π/4)+tan(x/2-π/4)=[tan(x/2)+tan(π/4)]/[1-tan(x/2)tan(π/4)]+[tan(x/2)-tan(π/4)]/[1+tan(x/2)tan(π/4)]=[tan(x/2)+1]/[1-tan(x/2)]+[tan(x/2)-1]/[1+tan(x/2)]=[(tan(x/2)+1)^2-(tan(x/2)-