Reason for getting e^x on integrating e^x:
Integrating the function e^x results in e^x because of the fundamental property of the exponential function. When we integrate e^x, we are essentially finding the antiderivative of e^x, which is a function whose derivative is e^x.

Explanation:
• The function e^x is special in that its derivative is equal to itself, i.e., d/dx(e^x) = e^x.
• When we integrate e^x, we are essentially asking the question: "What function, when differentiated, gives us e^x?"
• Since the derivative of e^x is e^x, the answer to this question is simply e^x.
• Therefore, integrating e^x results in e^x.

Example:
• When we integrate e^x with respect to x, we get ∫e^x dx = e^x + C, where C is the constant of integration.
• This result shows that the antiderivative of e^x is e^x.

Conclusion:
• Integrating e^x results in e^x because of the unique property of the exponential function, where its derivative is equal to itself.
• Understanding this fundamental property helps in solving various integration problems involving exponential functions.