Problem

\( \int_{3}^{4} e^{-2 x} d x \)

Answer

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Answer

\( -\frac{1}{2}( e^{-8} - e^{-6}) \)

Steps

Step 1 ：\( \int e^{-2 x} d x = -\frac{1}{2} e^{-2 x} + C \)

Step 2 ：\( -\frac{1}{2} e^{-2 (4)} - (-\frac{1}{2} e^{-2 (3)}) \)

Step 3 ：\( -\frac{1}{2}( e^{-8} - e^{-6}) \)

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