## ∫ eˣ dx

### To evaluate the integral of e^x with respect to x, we can use the power rule of integration

To evaluate the integral of e^x with respect to x, we can use the power rule of integration.

The power rule states that the integral of x^n with respect to x is (x^(n+1))/(n+1), when n is not equal to -1.

In this case, the function e^x does not have an x term, so we can imagine it as e^x = e^x * x^0. Therefore, we can rewrite the integral as:

∫ e^x dx = ∫ e^x * x^0 dx.

Now, let’s use the power rule:

∫ e^x dx = e^x * (x^0 + 1)/(0 + 1) + C.

Simplifying this expression, we have:

∫ e^x dx = e^x * x^1 + C.

Finally, we can simplify this to the answer:

∫ e^x dx = e^x + C,

where C is the constant of integration.

## More Answers:

Understanding Integration of cf(x) with Respect to x and the Power RuleUnderstanding the Integrals of a Constant: Finding the Antiderivative and Constant of Integration.

The Power Rule: Integral of x Raised to the Power of n | Math Tutorial

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