What is area e^x,e^{-x},-2,1 ?

The answer to area e^x,e^{-x},-2,1 is e^2+(1+e^3+e)/(e^2)-4

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area e^x,e^{-x},-2,1

area

e^{x}, e^{- x}, - 2, 1

e^{2} + \frac{1 + e ^{3} + e}{e ^{2}} - 4

Decimal

6.61055 \dots

Solution steps

Apply the area formula:

\int_{- 2}^{1} e^{x} - e^{- x} d x

Solve

\int_{- 2}^{1} e^{x} - e^{- x} d x : e^{2} + \frac{1 + e ^{3} + e}{e ^{2}} - 4

The area is:

= e^{2} + \frac{1 + e ^{3} + e}{e ^{2}} - 4

x \to + (- 3) - lim (4 x^{2} - 6 x + 3)

\frac{\partial}{\partial y} (x^{3} e^{x y} + 2 y)

\int 3 t e^{3 t} d t

x \to - 1 lim (\frac{2 x + 2}{x + 1})

f (x) = \frac{2}{x - 6}, (8, 1)

What is area e^x,e^{-x},-2,1 ?
The answer to area e^x,e^{-x},-2,1 is e^2+(1+e^3+e)/(e^2)-4