_ ^ x^2 x^3 ;dx = - Vidyadip

MCQ

$\int_{}^{} {{x^2}\sec {x^3}\;dx} = $

A
$\log (\sec {x^3} + \tan {x^3})$
B
$3(\sec {x^3} + \tan {x^3})$
✓
$\frac{1}{3}\log (\sec {x^3} + \tan {x^3})$
D
None of these

✓

Answer

Correct option: C.

$\frac{1}{3}\log (\sec {x^3} + \tan {x^3})$

c
(c) Put ${x^3} = t \Rightarrow 3{x^2}dx = dt$.

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