∫tan√(1+x^2)*x/(√1+x^2)dx
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∫tan√(1+x^2)*x/(√1+x^2)dx∫tan√(1+x^2)*x/(√1+x^2)dx∫tan√(1+x^2)*x/(√1+x^2)dx∫tan√(1+x^2)*x/(√1+x^2)dx
∫tan√(1+x^2)*x/(√1+x^2)dx
∫tan√(1+x^2)*x/(√1+x^2)dx
∫tan√(1+x^2)*x/(√1+x^2)dx
∫tan√(1+x^2)*x/(√1+x^2)dx
=(1/2)∫tan√(1+x^2)/(√1+x^2)d(x^2)
=∫tan√(1+x^2)d(√1+x^2)
=-ln|cos√(1+x^2)|+C
直接凑微分就凑出来了。
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