Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

∫x·cos(x²) dx
Options
A sin(x²)
B ½sin(x²)
Correct Answer
C x·sin(x²)
D cos(x/2)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Let u=x², du=2x dx. Then ∫xcos(x²)dx = ½∫cos(u)du = ½sin(u)+C = ½sin(x²)+C.

Hint

Substitute u=x² so du absorbs the factor of x dx (up to a constant).

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 868 of 930
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