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Question Number 33644 by mondodotto@gmail.com last updated on 21/Apr/18

 ∫(sec^2 x)e^(tanx) dx

(sec2x)etanxdx

Answered by Joel578 last updated on 21/Apr/18

I = ∫ (sec^2  x) e^(tan x)  dx  u = tan x  →  du = sec^2  x dx    I = ∫ e^u  du     = e^u  + C   = e^(tan x)  + C

I=(sec2x)etanxdxu=tanxdu=sec2xdxI=eudu=eu+C=etanx+C

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