AP Calculus ABmediummcq1 pt

What is the value of 01e2xdx\int_0^1 e^{2x}\,dx?

A.e212\frac{e^2-1}{2}
B.e21e^2-1
C.2(e21)2(e^2-1)
D.e22\frac{e^2}{2}

Explanation

Core Concept

An antiderivative is 12e2x\frac{1}{2}e^{2x}. Evaluating gives e22e02=e212\frac{e^2}{2}-\frac{e^0}{2}=\frac{e^2-1}{2}.

Correct Answer

Ae212\frac{e^2-1}{2}

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