Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

∫(cosx+sinx)/(cosx-sinx) dx
Options
A x+1
B ln(cosx-sinx)
C -ln(cosx-sinx)
Correct Answer
D √(sinx+cosx)
Correct Answer

Option C is the correct answer.

Detailed Explanation

The derivative of (cosx-sinx) is (-sinx-cosx), which is the negative of the numerator. So the integral is -ln|cosx-sinx|+C.

Hint

Notice the numerator is (up to sign) the derivative of the denominator.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 902 of 930
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