Question

Quiz Multiple Choice 1.5 points Evaluate the following integral. $$ \int \frac{x^4 + 3x^2 + 1}{x^5 + 5x^3 + 5x} dx $$ $$ \frac{1}{5} \ln |x^4 + 5x^2 + 5| + \frac{1}{\sqrt{5}} \arctan\left(\frac{x}{\sqrt{5}}\right) + C $$ $$ \frac{1}{5} \ln |x| + \ln |x^4 + 5x^2 + 5| + C $$ $$ \frac{1}{5} \ln |x| + C $$ $$ \frac{1}{5} \ln |x^5 + 5x^3 + 5x| + C $$

Name: quiz multiple choice 15 points evaluate the following integral int fracx4 3x2 1x5 5x3 5x dx frac15 ln x4 5x2 5 frac1sqrt5 arctanleftfracxsqrt5right c frac15 ln x ln x4 5x2 5 c frac15 ln x c 42334
Uploaded: 2024-12-05T04:42:17-08:00
Duration: 1 min 2 s
Channel: Sanchit Jain
Description: quiz multiple choice 15 points evaluate the following integral int fracx4 3x2 1x5 5x3 5x dx frac15 ln x4 5x2 5 frac1sqrt5 arctanleftfracxsqrt5right c frac15 ln x ln x4 5x2 5 c frac15 ln x c 42334

          Quiz
Multiple Choice 1.5 points
Evaluate the following integral.
$$ \int \frac{x^4 + 3x^2 + 1}{x^5 + 5x^3 + 5x} dx $$
$$ \frac{1}{5} \ln |x^4 + 5x^2 + 5| + \frac{1}{\sqrt{5}} \arctan\left(\frac{x}{\sqrt{5}}\right) + C $$
$$ \frac{1}{5} \ln |x| + \ln |x^4 + 5x^2 + 5| + C $$
$$ \frac{1}{5} \ln |x| + C $$
$$ \frac{1}{5} \ln |x^5 + 5x^3 + 5x| + C $$

$quiz multiple choice 15 points evaluate the following integral int fracx4 3x2 1x5 5x3 5x dx frac15 ln x4 5x2 5 frac1sqrt5 arctanleftfracxsqrt5right c frac15 ln x ln x4 5x2 5 c frac15 ln x c 42334$

Added by Terri A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sanchit Jain

12/05/2024

Step 1

$$ I = \int \frac{x^4 + 3x^2 + 1}{x^5 + 5x^3 + 5x} dx $$ Show more…

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Quiz Multiple Choice 1.5 points Evaluate the following integral. $$ \int \frac{x^4 + 3x^2 + 1}{x^5 + 5x^3 + 5x} dx $$ $$ \frac{1}{5} \ln |x^4 + 5x^2 + 5| + \frac{1}{\sqrt{5}} \arctan\left(\frac{x}{\sqrt{5}}\right) + C $$ $$ \frac{1}{5} \ln |x| + \ln |x^4 + 5x^2 + 5| + C $$ $$ \frac{1}{5} \ln |x| + C $$ $$ \frac{1}{5} \ln |x^5 + 5x^3 + 5x| + C $$