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mohamedwahby

  • 4 years ago

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

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  1. amistre64
    • 4 years ago
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    expand the top, divide out the denominator and see what we got left?

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

  3. Ishaan94
    • 4 years ago
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    \[\int \left(e^{-x} + e^{x} + 1 \right)dx = -e^{-x} + e^x + x \]

  4. amistre64
    • 4 years ago
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    \[\int\frac{(1+e^x)^2}{e^x}dx\] \[\int\frac{1+2e^x+e^{2x}}{e^x}dx\] \[\int\frac{1}{e^x}+\frac{2e^x}{e^x}+\frac{e^{2x}}{e^x}dx\] \[\int e^{-x}+{2e^x}+{e^x}dx\]

  5. amistre64
    • 4 years ago
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    typoed myself lol

  6. amistre64
    • 4 years ago
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    \[\int e^{-x}+2+{e^x}dx\] as i see it

  7. Ishaan94
    • 4 years ago
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    yup it should be 2 sorry my bad ..amistre is right

  8. Jyqft
    • 4 years ago
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    Whoops I made a mistake.

  9. amistre64
    • 4 years ago
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    my brain did it right, and my fingers argued with me lol

  10. mohamedwahby
    • 4 years ago
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    so the final answer is \[-e^-x+2x+e^x ?\]

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