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Question Number 42364 by Tawa1 last updated on 24/Aug/18

$$\int \frac{\mathrm{x}+\mathrm{sinx}-\mathrm{cosx}-1}{\mathrm{x}+{\mathrm{e}}^{\mathrm{x}}+\mathrm{sinx}}\mathrm{dx}$$

Commented by maxmathsup by imad last updated on 24/Aug/18

$$I=\int \frac{x+e^x+sinx-e^x-cosx-1}{x+e^x+sinx}dx=x-\int \frac{e^x+cosx+1}{x+e^x+sinx}dx$$$$=x-ln\mid x+e^x+sinx\mid +c.$$

Commented by maxmathsup by imad last updated on 24/Aug/18

$$nevermindsir.$$

Commented by Tawa1 last updated on 24/Aug/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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