Интеграл ∫(4x+3)sin(5x)dx∫(4x+3)sin⁡(5x)dx \int \left(4x+3\right)\sin (5x) dx равен:1. −(4x+3)cos(5x)+45sin(5x)+C−(4x+3)cos⁡(5x)+45sin⁡(5x)+C -\left(4x+3\right)\cos (5x)+\frac{4}{5}\sin (5x)+C 2. (4x+3)cos(5x)−45sin(5x)+C(4x+3)cos⁡(5x)−45sin⁡(5x)+C \left(4x+3\right)\cos (5x)-\frac{4}{5}\sin (5x)+C 3. −15(4x+3)cos(5x)+425sin(5x)+C−15(4x+3)cos⁡(5x)+425sin⁡(5x)+C -\frac{1}{5}\left(4x+3\right)\cos (5x)+\frac{4}{25}\sin (5x)+C 4. −(4x+3)cos(5x)+425sin(5x)+C−(4x+3)cos⁡(5x)+425sin⁡(5x)+C -\left(4x+3\right)\cos (5x)+\frac{4}{25}\sin (5x)+C 5. 15(4x+3)sin(5x)−425cos(5x)+C15(4x+3)sin⁡(5x)−425cos⁡(5x)+C \frac{1}{5}\left(4x+3\right)\sin (5x)-\frac{4}{25}\cos (5x)+C