What is $\int\frac{1}{\sin x\cos x}dx$? - CUETMOCK

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

What is $\int\frac{1}{\sin x\cos x}dx$ ?

Options:

$4\csc^2x+C$

$\ln|\tan x|+C$

$2\ln|\tan x|+C$

$-4\csc2x\cot x+C$

Correct Answer:

$\ln|\tan x|+C$

Explanation:

$\int\frac{1}{\sin x\cos x}dx=2\int\csc 2x dx=2.(1/2\ln|\tan x|+C)=\ln|\tan x|+C_{1}$

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