Integral Calculus Question 258

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

[MNR 1986; Roorkee 1975]

Options:

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

B) $ 3(\sec x^{3}+\tan x^{3}) $

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

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

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