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)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)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
∫tan(√(1+x^2) xdx/√(1+x^2)
=∫tan√(1+x^2)d √(1+x^2)
=-ln|cos√(1+x^2)|+C
∫f'(arcsinx)dx/√(1-x^2)
=∫f'(arcsinx)d(arsinx)
=f(arcsinx)+C