What is the integral of (e^{4x})/(e^{4x)} ?

The integral of (e^{4x})/(e^{4x)} is x+C

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integral of (e^{4x})/(e^{4x)}

\int \frac{e ^{4 x}}{e ^{4 x}} d x

x + C

Solution steps

\int \frac{e ^{4 x}}{e ^{4 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

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What is the integral of (e^{4x})/(e^{4x)} ?
The integral of (e^{4x})/(e^{4x)} is x+C