Ayudenme a contestar esta integral por favor?

Respuesta : <img src="https://tex.z-dn.net/?f=-2%5Cln%20%5Cleft%7Cx%2B3%5Cright%7C%2B3%5Cln%20%5Cleft%7Cx%2B1%5Cright%7C%2BC" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bx%2B7%7D%7B%5Cleft%28x%2B3%5Cright%29%5Cleft%28x%2B1%5Cright%29%7Ddx" /><img src="https://tex.z-dn.net/?f=%5Cmathrm%7BTomar%5C%3Ala%5C%3Afraccion%5C%3Aparcial%5C%3Ade%7D%5C%3A%5Cfrac%7Bx%2B7%7D%7B%5Cleft%28x%2B3%5Cright%29%5Cleft%28x%2B1%5Cright%29%7D%3A%5Cquad%20-%5Cfrac%7B2%7D%7Bx%2B3%7D%2B%5Cfrac%7B3%7D%7Bx%2B1%7D" /><img src="https://tex.z-dn.net/?f=%3D%5Cint%20%5C%3A-%5Cfrac%7B2%7D%7Bx%2B3%7D%2B%5Cfrac%7B3%7D%7Bx%2B1%7Ddx" /><img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAplicar%5C%3Ala%5C%3Aregla%5C%3Ade%5C%3Ala%5C%3Asuma%7D%3A%5Cquad%20%5Cint%20f%5Cleft%28x%5Cright%29%5Cpm%20g%5Cleft%28x%5Cright%29dx%3D%5Cint%20f%5Cleft%28x%5Cright%29dx%5Cpm%20%5Cint%20g%5Cleft%28x%5Cright%29dx" /><img src="https://tex.z-dn.net/?f=%3D-%5Cint%20%5Cfrac%7B2%7D%7Bx%2B3%7Ddx%2B%5Cint%20%5Cfrac%7B3%7D%7Bx%2B1%7Ddx" /><img src="https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7B2%7D%7Bx%2B3%7Ddx%3D2%5Cln%20%5Cleft%7Cx%2B3%5Cright%7C" /><img src="https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7B3%7D%7Bx%2B1%7Ddx%3D3%5Cln%20%5Cleft%7Cx%2B1%5Cright%7C" /><img src="https://tex.z-dn.net/?f=%3D-2%5Cln%20%5Cleft%7Cx%2B3%5Cright%7C%2B3%5Cln%20%5Cleft%7Cx%2B1%5Cright%7C" /><img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAgregar%5C%3Auna%5C%3Aconstante%5C%3Aa%5C%3Ala%5C%3Asolucion%7D" />[img = 10].