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October 3rd, 2018, 06:31 PM   #1
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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.
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October 3rd, 2018, 07:37 PM   #2
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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?
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October 4th, 2018, 12:04 PM   #3
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Quote:
Originally Posted by maths noob View Post
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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