First slide

Introduction to integration

Question

$\int \sin 2 x d (\tan x)$

Easy

A

$\ln |c o s x| + C$
B

$2 \ln |\cos x| + C$
C

$2 \ln |s e c x| + C$
D

$\ln |s e c x| + C$

Solution

$\int \sin 2 x d (\tan x) = \int \sin 2 x s e c^{2} x d x = 2 \int \tan x d x = 2 \ln |s e c x| + C$

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