The Complex Form of the Fourier Integral of a Function $\int _ { - \infty } ^ { \infty } f ( t ) e ^ { i \alpha t} d t$

question 31

Multiple Choice

The complex form of the Fourier integral of a function f is

• A) \(\int _ { - \infty } ^ { \infty } f ( t ) e ^ { i \alpha t} d t\)
• B) \(\int _ { - \infty } ^ { \infty } \left( \int _ { - \infty } ^ { \infty } f ( t ) e ^ { i \alpha t } d t \right) e ^ { - i \alpha \alpha } d \alpha / ( 2 \pi )\)
• C) \(\int _ { - \infty } ^ { \infty } f ( t ) e ^ { - i \alpha t } d t\)
• D) \(\int _ { - \infty } ^ { \infty } \left( \int _ { - \infty } ^ { \infty } f ( t ) e ^ { - i \alpha t } d t \right) e ^ { i \alpha x } d \alpha / \pi\)
• E) \(\int _ { - \infty } ^ { \infty } \left( \int _ { - \infty } ^ { \infty } f ( t ) e ^ { \alpha t } d t \right) e ^ { - i \alpha x } d \alpha / \pi\)

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