What is the integral of (e^x-e^{-x})/(e^x-e^{-x)} ?

The integral of (e^x-e^{-x})/(e^x-e^{-x)} is x+C

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integral of (e^x-e^{-x})/(e^x-e^{-x)}

\int \frac{e ^{x} - e ^{- x}}{e ^{x} - e ^{- x}} d x

x + C

Solution steps

\int \frac{e ^{x} - e ^{- x}}{e ^{x} - e ^{- x}} d x

Simplify

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

y = ∣ x ∣

7 x + 1, at x = 9

cos (t)

x \to 0 lim (1 - sin^{2} (x))

\int (cos (2 x))^{2} d x

What is the integral of (e^x-e^{-x})/(e^x-e^{-x)} ?
The integral of (e^x-e^{-x})/(e^x-e^{-x)} is x+C