Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Calculate ∫₋₁⁰ z·e^(-z) dz
Options
A -1
Correct Answer
B -2
C -3
D -4
Correct Answer

Option A is the correct answer.

Detailed Explanation

By parts, ∫ze^(-z)dz = -ze^(-z)-e^(-z). Evaluating from -1 to 0 gives (0-1) - (1-e) simplified to -1.

Hint

Integrate by parts with u=z, dv=e^(-z)dz.

Question Info