Mathematics

$$\int {\frac{e^xdx}{e^x+1}}$$


SOLUTION
$$\int \cfrac{e^x}{e^x+1}dx$$
Let  $$e^x+1=z\implies e^x dx=dz$$
$$\int\cfrac{1}{z}dz$$
$$=\ln|z|+c$$
$$=\ln|e^x+1|+c$$
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Subjective Medium Published on 17th 09, 2020
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