∫ 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.
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