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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The Answer of 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) $\int _ { - \infty } ^ { \infty } \left( \int _ { - \infty } ^ { \infty } f ( t ) e ^ { \alpha t } d t \right) e ^ { - i \alpha x } d \alpha / \pi$

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

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