_ ^ ^2 x ;dx is equal to - Vidyadip

MCQ

$\int_{}^{} {{{\tan }^2}x\;dx} $ is equal to

A
$\tan x + x + c$
✓
$\tan x - x + c$
C
$\sec x + x + c$
D
$\sec x - x + c$

✓

Answer

Correct option: B.

$\tan x - x + c$

b
(b)$\int_{}^{} {{{\tan }^2}x\,dx} = \int_{}^{} {({{\sec }^2}x - 1)\,dx} = \tan x - x + c$.

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