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October 3rd, 2018, 06:31 PM  #1 
Newbie Joined: Oct 2018 From: Australia Posts: 4 Thanks: 0  Is $\int\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left(2x^7+x^2\right) + C$ false?
Is $\displaystyle \int\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left(2x^7+x^2\right) + C$ false?
Last edited by skipjack; October 3rd, 2018 at 07:27 PM. 
October 3rd, 2018, 07:37 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,701 Thanks: 1804 
If $x$ is real, I would usually give $\displaystyle \int\!\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left2x^7+x^2\right + C$. Why did you ask?

October 4th, 2018, 12:04 PM  #3 
Senior Member Joined: Sep 2016 From: USA Posts: 469 Thanks: 261 Math Focus: Dynamical systems, analytic function theory, numerics  

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$intfrac14x6, 2x2x7, dxlnleft2x7, false, mathrm, x2right 
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