Question Detail
Question
Evaluate ∫₋₁² x·e^(6x) dx
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using the antiderivative (x/6)e^(6x)-(1/36)e^(6x), evaluate from -1 to 2: at x=2 you get (11/36)e¹², and at x=-1 you get -(7/36)e⁻⁶. Subtracting gives (11/36)e¹²+(7/36)e⁻⁶.
Hint
Apply the by-parts antiderivative from the previous question and evaluate at the two bounds.