Evaluate the following integral. Rewrite the given integral using this substitution. । 7x² dx (121+x²)² (121+ Evaluate the indefinite integral. (11 tan 0)² -S + (11 tan 0)²) ² 7x² dx (121+x²)² (Use C as the arbitrary constant.) S = DO (11 sec 20) de Vi π
Evaluate the following integral. Rewrite the given integral using this substitution. । 7x² dx (121+x²)² (121+ Evaluate the indefinite integral. (11 tan 0)² -S + (11 tan 0)²) ² 7x² dx (121+x²)² (Use C as the arbitrary constant.) S = DO (11 sec 20) de Vi π
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 integral
![**Evaluate the following integral.**
Rewrite the given integral using this substitution.
\[
\int \frac{7x^2 \, dx}{(121 + x^2)^2} = \int \frac{(11 \tan \theta)^2}{(121 + (11 \tan \theta)^2)^2}(11 \sec^2 \theta) \, d\theta
\]
Evaluate the indefinite integral.
\[
\int \frac{7x^2 \, dx}{(121 + x^2)^2} = \, \square
\]
(Use \( C \) as the arbitrary constant.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa204fb01-1593-427c-b210-f132b42420bd%2Fc394aa58-37d3-4ef3-8405-ced0b9b0b4f9%2Fi6k4n8q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Evaluate the following integral.**
Rewrite the given integral using this substitution.
\[
\int \frac{7x^2 \, dx}{(121 + x^2)^2} = \int \frac{(11 \tan \theta)^2}{(121 + (11 \tan \theta)^2)^2}(11 \sec^2 \theta) \, d\theta
\]
Evaluate the indefinite integral.
\[
\int \frac{7x^2 \, dx}{(121 + x^2)^2} = \, \square
\]
(Use \( C \) as the arbitrary constant.)
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