2 1². Evaluate I e4-22² dx needed, round part b to 4 decimal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Evaluate the definite integral**
\[
\int_{-1}^{2} \frac{x}{e^{4-2x^2}} \, dx
\]
**a) Find an anti-derivative**
\[
\int \frac{x}{e^{4-2x^2}} \, dx = \quad \_\_\_\_\_\_\_\_\_ + C
\]
**b) Evaluate**
\[
\int_{-1}^{2} \frac{x}{e^{4-2x^2}} \, dx = \quad \_\_\_\_\_\_\_\_\_
\]
If needed, round part b to 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a80892-6d38-4c33-b12d-e676cd98c4f8%2Fc564a3e5-2611-4c05-864b-00c059c7d402%2Fv4rub7_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the definite integral**
\[
\int_{-1}^{2} \frac{x}{e^{4-2x^2}} \, dx
\]
**a) Find an anti-derivative**
\[
\int \frac{x}{e^{4-2x^2}} \, dx = \quad \_\_\_\_\_\_\_\_\_ + C
\]
**b) Evaluate**
\[
\int_{-1}^{2} \frac{x}{e^{4-2x^2}} \, dx = \quad \_\_\_\_\_\_\_\_\_
\]
If needed, round part b to 4 decimal places.
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