31. What's the " dx " symbol that sits next to the integrand called in an integration? 32. I don't think I understand exactly how to incorporate the initial value function as part of the integrand . 33. In this case the integrand is positive everywhere, thus the corresponding integral must be an increasing function of x. 34. It states that a constant factor within an integrand can be separated from the integrand and instead multiplied by the integral. 35. It states that a constant factor within an integrand can be separated from the integrand and instead multiplied by the integral. 36. This directly results from the fact that the integrand e ^ {-t ^ 2 } is an even function. 37. The process of integration consists of adding up the values of the integrand for each point of the domain of integration. 38. Holds, as long as the path of integration is entirely contained in the domain of a branch of the integrand . 39. However, the integrand above is not the sine function, but rather the product of a sine and an exponential. 40. The conditions for convergence are readily established by applying Stirling's asymptotic approximation to the gamma functions in the integrand .
