Question

What is the integration of ∫e²ⁿdx please answer as fast as possible. ​

Answer 1

Answer:

$e^{2n}x + C$ (since n is assumed to be a constant when integrating with respect to x)

Step-by-step explanation:

You are integrating with respect to x, but $e^{2n}$ has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.

Example: the integral of 2 is 2x, since the derivative of 2x is 2.

$\int {e^{2n}} \, dx = e^{2n}x + C$

If you were integrating $e^{2x}$ with respect to x, it would look like this:

Since...

$\frac{d}{dx} (e^{ax}) = ae^{ax}$

The integral of $e^{ax}$ is:

$\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C$

$\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C$

Note: C is a constant. It can be any number.

Answer: $e^{2n}x + C$ (since n is assumed to be a constant)