How do you intergrate ex2?

To integrate ( e^{2x} ), you use the basic rule for integrating exponential functions. The integral is given by:

[ \int e^{2x} , dx = \frac{1}{2} e^{2x} + C ]

where ( C ) is the constant of integration. This result comes from the fact that the derivative of ( e^{2x} ) is ( 2e^{2x} ), so you divide by the coefficient of ( x ) in the exponent during integration.