∫ e^x(sec^2 x+tan x)dx=∫ d(e^xtanx ) #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Integration by Parts

∫ex 2x + tan ...

Question

$\int e^{x} ({sec}^{2} x + tan x) d x$

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Solution

$\int e^{x} (s e c^{2} x + t a n x) d x = \int d (e^{x} t a n x)$
$= e^{x} t a n x + c$

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