| 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.
|