∫ e^x dx
To solve the integral of e^x, we can use the power rule for integrals
To solve the integral of e^x, we can use the power rule for integrals. The power rule states that the integral of x^n is equal to (x^(n+1))/(n+1), where n ≠ -1.
In this case, we have e^x, which can be considered as (e^x)^1. Using the power rule, we can integrate it as follows:
∫ e^x dx = (e^x)^(1+1)/(1+1) + C
Simplifying further:
∫ e^x dx = (e^x)^2/2 + C
Finally, we can write the complete solution as:
∫ e^x dx = (e^2x)/2 + C
where C is the constant of integration.
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