\int {1+\sqrt{3} \cot x}/{1-\sqrt{3} \cot x} \dx= [TG EAPCET 14 May 2023 Shift 2]

Correct Answer is : −x2+√32log|sin(x−π3)|+c

-\frac{x}{2}+ {\sqrt{3}}/{2} \log {| \sin (x-\frac{\pi}{3}) |}+c

\frac{x}{2}+ {\sqrt{3}}/{2} \log {| \sin (x-\frac{\pi}{3}) |}+c

-\frac{x}{2}- {\sqrt{3}}/{2} \log [ \sin (x-\frac{\pi}{3}) ] +c

\frac{x}{2}- {\sqrt{3}}/{2} \log {| \sin (x-\frac{\pi}{3}) |}+c

TS EAMCET Engineering 14 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 72 of 160

Marks: +1, -0

∫‌

1+√3‌cot‌x

1−√3‌cot‌x

‌dx=

[TG EAPCET 14 May 2023 Shift 2]

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