I.2.33 Integrals Depending on a Parameter
Condition: to investigate at what values \ (p \) converges, at which the integral diverges by the parameter. \ [\ int _ \ pi / 4}^{+\ infty} \ frac {\ cos (2 x) d x} {(4 x- \ pi)^{2 p} \ left (x {2}+x \ risht)} \ text {. } \]
Integrals Depending on a Parameter, Offten Referred to as Parameter-Depndent Integrals or Definite Integrals with Parameters, Involve The Function Wherere ONE OR MORE PARAMETERS ARE PRESENT. These Parameter-Dependent Integrals Can Lead To a Variety of Problems and Challenges. Here You Can Find Problems Related To Convergence and Divergence, Calculation, Limits, Parametric Integration and Differentiation of Parameter-Dependent Integrals. ALSO, There Aree Usage and Properties of Euler, Frullani, Poisson, Laplace, and Dirichlet Integrals.