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Thursday 18 May 2023

What is the value of the integral of e^x from -∞ to +∞?

 The integral of the function e^x from negative infinity to positive infinity does not converge to a finite value. This means that the integral is divergent. In mathematical terms, we can represent it as:

∫[from -∞ to +∞] e^x dx

The exponential function e^x grows exponentially as x approaches positive infinity, and it decays rapidly as x approaches negative infinity. Since the function does not reach a stable value over the entire range, the integral cannot be evaluated to a specific finite number.

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