$\int e^{x} \cdot \sec x(1+\tan x) d x=$

$\int e^{x} \cdot \sec x(1+\tan x) d x=$
  1. $e^{x} \operatorname{cosec} x+c$
  2. $e^{x} \sec x+c$
  3. $e^{x} \cot x+c$
  4. $e^{x} \tan x+c$

Solution

$\int e^{x} \sec x(1+\tan x) d x$ $=\int e^{x}(\sec x+\sec x \tan x)=e^{x} \sec x+c$

Asked in: MHT CET 2020 (20 Oct Shift 2)

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