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Integrate the function $e^x$ from 0 to $\infty $

Step-by-step Solution

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Final Answer

The integral diverges.

Step-by-step Solution

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The integral of the exponential function is given by the following formula $\displaystyle \int a^xdx=\frac{a^x}{\ln(a)}$, where $a > 0$ and $a \neq 1$

$e^x$

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$e^x$

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Learn how to solve problems step by step online. Integrate the function e^x from 0 to infinity. The integral of the exponential function is given by the following formula \displaystyle \int a^xdx=\frac{a^x}{\ln(a)}, where a > 0 and a \neq 1. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.

Final Answer

The integral diverges.

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Function Plot

Plotting: $e^x$

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