∫e^x dx
To integrate the function ∫e^x dx, we can use the basic rule of integration, which states that the integral of e^x is equal to e^x itself plus a constant:
∫e^x dx = e^x + C
Where C represents the constant of integration
To integrate the function ∫e^x dx, we can use the basic rule of integration, which states that the integral of e^x is equal to e^x itself plus a constant:
∫e^x dx = e^x + C
Where C represents the constant of integration.
This rule can be derived by using the definition of the exponential function and the limit definition of the integral. Since the derivative of e^x is e^x, the integral of e^x with respect to x will give us back e^x.
So, the integral of e^x is simply e^x + C, where C represents any constant value.
Therefore, the result of integrating ∫e^x dx is:
∫e^x dx = e^x + C
More Answers:
Mastering Integration: Applying Linearity Property to Integrate the Expression ∫ [f(u) ± g(u)] duUnderstanding the Basics of Integrals and the Use of the ∫ Symbol: An Exploration of Integration in Calculus
Master the Power Rule for Integrating ∫a^x dx: A Substitution Technique