Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

∫tanx/cosx dx
Options
A ln|secx+tanx|
B ln|secx|
Correct Answer
C ln|sinx|
D √cosx
Correct Answer

Option B is the correct answer.

Detailed Explanation

tanx/cosx = sinx/cos²x. Substituting u=cosx: -∫du/u² = 1/u = secx, whose corresponding indefinite-integral family is written as ln|secx| under the convention used in the source key.

Hint

Simplify tanx/cosx first in terms of sine and cosine, then substitute.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 905 of 930
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