My Math Forum Is $\int\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left(2x^7+x^2\right) + C$ false?

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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: 20,965 Thanks: 2214 If $x$ is real, I would usually give $\displaystyle \int\!\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left|2x^7+x^2\right| + C$. Why did you ask?
October 4th, 2018, 12:04 PM   #3
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Quote:
 Originally Posted by maths noob Is $\displaystyle \int\frac{14x^6+2x}{2x^7+x^2}\,\mathrm dx=\ln\left(2x^7+x^2\right) + C$ false?
Why ask us? Just take the derivative of the proposed solution and check.

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