Final answer:
The value of the given integral is K.
Step-by-step explanation:
The given integral is ∫−∞ ∞ Kδ(λ)dλ=K. Here, δ(λ) represents the Dirac delta function, which is a distribution that is zero everywhere except at λ=0, where it is infinite.
The integral of δ(λ) over the entire real line is equal to 1.
Thus, ∫−∞ ∞ Kδ(λ)dλ = K∫−∞ ∞ δ(λ)dλ = K * 1 = K.
Therefore, the value of the given integral is K.