mohamedwahby
integration of (1+e^x)^2 /e^x



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amistre64
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expand the top, divide out the denominator and see what we got left?

jrodriguez2315
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\[\int\limits_{a}^{b} ((1+e^x)^2)/e^x \] hmmm... long time since Cal II. Maybe Integration by Parts?

Ishaan94
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\[\int \left(e^{x} + e^{x} + 1 \right)dx = e^{x} + e^x + x \]

amistre64
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\[\int\frac{(1+e^x)^2}{e^x}dx\]
\[\int\frac{1+2e^x+e^{2x}}{e^x}dx\]
\[\int\frac{1}{e^x}+\frac{2e^x}{e^x}+\frac{e^{2x}}{e^x}dx\]
\[\int e^{x}+{2e^x}+{e^x}dx\]

amistre64
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typoed myself lol

amistre64
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\[\int e^{x}+2+{e^x}dx\]
as i see it

Ishaan94
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yup it should be 2 sorry my bad ..amistre is right

Jyqft
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Whoops I made a mistake.

amistre64
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my brain did it right, and my fingers argued with me lol

mohamedwahby
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so the final answer is \[e^x+2x+e^x ?\]