Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

typoed myself lol

Answer 6

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

Answer 7

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

Answer 8

Whoops I made a mistake.

Answer 9

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

Answer 10

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