Integral of sin(2x+3)/(x^2+3x-2)

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SUMMARY

The integral of sin((2x+3)/(x^2+3x-2)) dx presents significant challenges in evaluation. Participants in the discussion highlight that the denominator is the derivative of the numerator, complicating the integration process. Despite attempts to find a solution, consensus indicates that evaluating this integral is not feasible due to the complexity introduced by the function of the fraction. The integral remains unsolved within the context provided.

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Astudious
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Is there any way of evaluating the following integral:

\int sin{(\frac{2x+3}{x^2+3x-2})} dx

I have thought hard but cannot find an answer.

Obviously, the denominator is the differential of the numerator. But a function is being taken of this fraction...
 
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Astudious said:
Is there any way of evaluating the following integral:
I doubt it.
Astudious said:
\int sin{(\frac{2x+3}{x^2+3x-2})} dx

I have thought hard but cannot find an answer.

Obviously, the denominator is the differential of the numerator. But a function is being taken of this fraction...
No, the numerator (top) is the differential of the denominator (bottom).
 

Thread 'How does this derivative work? And why the speed of light remains?'

Relativistic Momentum, Mass, and Energy Momentum and mass (...), the classic equations for conserving momentum and energy are not adequate for the analysis of high-speed collisions. (...) The momentum of a particle moving with velocity ##v## is given by $$p=\cfrac{mv}{\sqrt{1-(v^2/c^2)}}\qquad{R-10}$$ ENERGY In relativistic mechanics, as in classic mechanics, the net force on a particle is equal to the time rate of change of the momentum of the particle. Considering one-dimensional...
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