Calculus • Step-by-Step

Integral of eˣ dx with Steps

Find the integral of eˣ dx step by step. Explains why the exponential function integrates to e^x + C.

Problem Statement

\int e^x \, dx

Final Result

F(x) = e^{x} + C

Formula Required: Exponential Integration Rule

The natural exponential function is its own antiderivative.

\int e^x \, dx = e^x + C

2 Steps

Set up the indefinite integral with respect to variable $x$.

\int \left( e^{x} \right) \, dx

Apply the Exponential Integration to find the antiderivative.

F(x) = e^{x}

Interactive Calculator

Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The integral of eˣ is eˣ + C.