_0^ /8 ^2 2x 2 ,dx = - Vidyadip

MCQ

$\int_0^{\pi /8} {\frac{{{{\sec }^2}2x}}{2}\,dx = } $

✓
$\frac{1}{4}$
B
$\frac{1}{3}$
C
$\frac{1}{2}$
D
None of these

✓

Answer

Correct option: A.

$\frac{1}{4}$

a
(a) $\frac{1}{2}\int_0^{\pi /8} {{{\sec }^2}2xdx = \frac{1}{4}[\tan 2x]_0^{\pi /8}} $

$= \frac{1}{4}[1] = \frac{1}{4}$.

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