∫ sec^3​​​​​​​ x dx = ?

Question

Mark (√) against the correct answer of the following:

∫ sec³ x dx = ?

A. \(\frac{1}{2}\){sec x tan x - log |sec x + tan x|} + C

B.  \(\frac{1}{2}\){sec x tan x + log |sec x + tan x|} + C

C. 2{sec x tan x + log |sec x + tan x|} + C

D. None of these

Answer 1

Correct answer is B.

To find: Value of ∫ sec³ x dx

Formula used:

Taking sec x as first function and sec²x as second function.