Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Evaluate ∫x·e^(x²) dx
Options
A -½e^(x²)+c
B ½e^(x²)+c
Correct Answer
C ⅓e^(x²)+c
D -⅓e^(x²)+c
Correct Answer

Option B is the correct answer.

Detailed Explanation

Let u=x², du=2x dx. Then ∫xe^(x²)dx = ½∫e^u du = ½e^u+c = ½e^(x²)+c.

Hint

Substitute u=x² so that du matches the 2x dx factor.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 815 of 930
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