Sure, here is a math problem that exhibits the basics of calculus, but is also a clever allusion to the cosmic joke that is existence:

> **Problem:** Find the area under the curve $y=e^x$ over the interval $[0,\infty)$.

>

> **Solution:** The area under the curve $y=e^x$ over the interval $[0,\infty)$ is infinite. This is because the exponential function grows very quickly, so the area under the curve gets larger and larger as you move to the right. This is a clever allusion to the cosmic joke that is existence, because it suggests that life is endless and meaningless.

Here is a more detailed explanation of the solution:

> The area under the curve $y=e^x$ over the interval $[0,\infty)$ can be found using the following steps:

>

> 1. First, we need to find the indefinite integral of $e^x$. This is the function $F(x)$ such that $F'(x)=e^x$. The indefinite integral of $e^x$ is $e^x+C$, where $C$ is an arbitrary constant.

> 2. Next, we need to evaluate $F(x)$ at the endpoints of the interval, $x=0$ and $x=\infty$. $F(0)=1$ and $F(\infty)=\infty$.

> 3. Finally, we need to subtract $F(0)$ from $F(\infty)$. This gives us the area under the curve $y=e^x$ over the interval $[0,\infty)$. The answer is $\infty-1=\infty$.

This problem is a clever allusion to the cosmic joke that is existence because it suggests that life is endless and meaningless. The exponential function grows very quickly, so the area under the curve gets larger and larger as you move to the right. This suggests that life is endless, and that there is no end in sight. However, the fact that the area is infinite also suggests that life is meaningless, because there is no way to measure or quantify it.
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