What is the integral of sqrt(1+e^2) ?

The integral of sqrt(1+e^2) is sqrt(1+e^2)x+C

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integral of sqrt(1+e^2)

\int 1 + e^{2} d x

1 + e^{2} x + C

Solution steps

\int 1 + e^{2} d x

Integral of a constant:

\int a d x = a x

= 1 + e^{2} x

Add a constant to the solution

= 1 + e^{2} x + C

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What is the integral of sqrt(1+e^2) ?
The integral of sqrt(1+e^2) is sqrt(1+e^2)x+C