I see the image you uploaded contains two mathematical expressions. Let's break them down:

1. Integral: The first equation appears to be the integral of $e^{2x+3}$ with respect to $x$. This is an exponential function that we need to integrate.

   The integral of $e^{ax+b}$ (where $a$ and $b$ are constants) is given by: $\int e^{ax+b} \, dx = \frac{1}{a} e^{ax+b} + C$ For $e^{2x+3}$, we have $a = 2$ and $b = 3$. Thus, the integral becomes: $\int e^{2x+3} \, dx = \frac{1}{2} e^{2x+3} + C$

2. Derivative: The second equation seems to be a derivative. It’s unclear whether $y'$ is the derivative of a function, but the expression inside looks like a ratio. The expression is: $y' = \frac{x}{0.5t - 2x}$ If this is the derivative of some function, it would typically suggest a rational function where you could apply techniques such as the quotient rule to differentiate.

Would you like me to provide more detailed steps for either part, or do you need help with something else in this image?