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.
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The noun form of "integrate" is spelled as "integration."
Our teacher integrated a visual element in today's lesson.
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