integration

2011-04-30 6:20 pm

回答 (1)

2011-04-30 6:54 pm
✔ 最佳答案
∫Secxdx
Sol
Set y=Secx+Tanx
dy=(SecxTanx+Sec^2 x)dx
=Secx(Secx+Tanx)dx
=ySecxdx
So
dy/y=Secdx
∫Secxdx
=∫y/dy
=ln|y|+c
=ln|Sec+Tanx|+c




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