1. Find the integral O O -1.56 O A. B. C. 5 E. 26 2du U 26 du 22 du 2u OD. None of these 2du So 2 I 1+x² da using substitution. The resulting integral is ......

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question 1:**

Find the integral 

\[
\int_{2}^{5} \frac{x}{1 + x^2} \, dx
\] 

using substitution. The resulting integral is:

**Options:**

A. \(\int_{5}^{26} \frac{2 \, du}{u}\)

B. \(\int_{5}^{26} \frac{du}{2u}\)

C. \(\int_{5}^{2} \frac{du}{2u}\)

D. None of these

E. \(\int_{2}^{5} \frac{2 \, du}{u}\)
Transcribed Image Text:**Question 1:** Find the integral \[ \int_{2}^{5} \frac{x}{1 + x^2} \, dx \] using substitution. The resulting integral is: **Options:** A. \(\int_{5}^{26} \frac{2 \, du}{u}\) B. \(\int_{5}^{26} \frac{du}{2u}\) C. \(\int_{5}^{2} \frac{du}{2u}\) D. None of these E. \(\int_{2}^{5} \frac{2 \, du}{u}\)
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