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What is `int (a + b sin x)/(cos^(2) x) dx` equal to ?A. `a sec x + b tan x + c`B. `a tan x + b sec x + c`C. `a cot x + b "cosec" x + c`D. `a "cosec" x + b cot x + c` |
Answer» Correct Answer - B Consider `int (a + b sin x)/(cos^(2)x) dx = int ((a)/(cos^(2)x) + (b sin x)/(cos^(2)x)) dx` `= int (a sec^(2) x + b tan x sec x) dx = a tan x + b sec x + c` |
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