e^xdx
e^x+C
To integrate e^x with respect to x, we can use integration by substitution. Let’s let u = x, then du/dx = 1 and dx = du. Our integral becomes:
∫e^xdx = ∫e^udu (since dx = du)
Now we can integrate e^u easily by simply applying the power rule of integration:
= e^u + C, where C is the constant of integration
Substituting u back in terms of x, we get:
= e^x + C, where C is the constant of integration
Therefore, the antiderivative or indefinite integral of e^x with respect to x is e^x + C, where C is the constant of integration.
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