∫ sec^5 x tan x dx = ?

Question

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

\(\int sec^5\, x\, tan\,x\, dx = ?\)

∫ sec⁵ x tan x dx = ?

A. \(\frac{1}{5}\)tan⁵ x + C

B. \(\frac{1}{5}\)sec⁵ x + C

C. 5 log |cos x| + C

D. None of these

Answer 1

Correct answer is B.

Formula :-

Put sec x = t

\(\Rightarrow\) sec x tan x dx = dt