Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

∫dx/(cosx·sinx)
Options
A cos²x/2
B sin²x/2
C ln|tanx|
Correct Answer
D sec²x
Correct Answer

Option C is the correct answer.

Detailed Explanation

1/(sinx cosx) = 2/sin2x = 2cosec2x. Integrating gives ln|tan(x)| (equivalently -ln|cosec2x+cot2x|, which simplifies to ln|tanx|+C).

Hint

Rewrite the product sinx cosx using the double-angle identity sin2x=2sinxcosx first.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 899 of 930
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