Question
$\int {{e^x}\sec x\left( {1 + \tan x} \right)dx}$ equals
- (a) ${e^x}\cos x + C$
- (b) ${e^x}\sec x + C$
- (c) ${e^x}\sin x + C$
- (d) ${e^x}\tan x + C$
$\int {{e^x}\sec x\left( {1 + \tan x} \right)dx}$ equals
Option b is correct
$\int {{e^x}\left( {\sec x + \sec x\tan \,x} \right)} dx = {e^x}\sec x + C$
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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Integrals. Curated by Sachin Sharma. Free for all students.