Evaluate the impropar Integralif it is coviver gent1.dx4tx²2.

Answered: Evaluate the improper Integral if it is…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 27P

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Question

Evaluate the impropar Integral
if it is coviver gent
1.
dx
4tx²
2.

Expert Solution

Step 1:To determine

To evaluate:

$\int_{0}^{\infty} \frac{d x}{4 + x^{2}}$

Step 2:Formula used

$\int \frac{1}{a^{2} + x^{2}} d x = \frac{1}{a} \tan^{- 1} (\frac{x}{a}) + C$

Step by step

Solved in 3 steps

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Evaluate the improper Integral if it is coviverigent dx 4tx 2.