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

[Astudious]

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...

 

[Mark44]

Is there any way of evaluating the following integral:

I doubt it.

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

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).