I.2.31 Integrals Depending on a Parameter
Condition: to explore the unacceptable integral for convergence. Indicate at what values of the positive parameter \ (\ alpha \) the integral converges. \ [\ iint_ {00}^{\ infty} \ frac {d x d y} {\ expp \ left (x^{2}+y^{\ alpha} \ right) -1} \]
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.