If \tan \alpha=\frac{4}{3}, then \int \frac{1}{3 \cos x-4 \sin x} d x=

Correct Answer is : 15log|tan(π4+x2+α2)|+c

\frac{1}{5} \log |\tan (\frac{x}{2}+\frac{\alpha}{2})|+c

\frac{1}{5} \log |\tan (\frac{\pi}{4}+\frac{x}{2}+\frac{\alpha}{2})|+c

\frac{1}{5} \log |\tan (\frac{\pi}{4}-\frac{x}{2}-\frac{\alpha}{2})|+c

\frac{1}{5} \log |\tan (\sec x+\tan x)|+c

TS EAMCET 20-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

If tan‌α=‌

, then ∫‌

3‌cos‌x−4‌sin‌x

dx=

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