diff --git a/src/scimlfunctions.jl b/src/scimlfunctions.jl
index b30eca7af..41d2d911d 100644
--- a/src/scimlfunctions.jl
+++ b/src/scimlfunctions.jl
@@ -2088,9 +2088,10 @@ out-of-place handling.
 IntegralFunction{iip,specialize}(f, [integrand_prototype])
 ```
 
-Note that only `f` is required, and in the case of inplace integrands a mutable container
+Note that only `f` is required, and in the case of inplace integrands a mutable array
 `integrand_prototype` to store the result of the integrand. If `integrand_prototype` is
-present, `f` is interpreted as in-place, and otherwise `f` is assumed to be out-of-place.
+present for either in-place or out-of-place integrands it is used to infer the return type
+of the integrand.
 
 ## iip: In-Place vs Out-Of-Place
 
@@ -2148,14 +2149,14 @@ BatchIntegralFunction{iip,specialize}(bf, [integrand_prototype];
                                      max_batch=typemax(Int))
 ```
 Note that only `bf` is required, and in the case of inplace integrands a mutable
-container `integrand_prototype` to store a batch of integrand evaluations, with
+array `integrand_prototype` to store a batch of integrand evaluations, with
 a last "batching" dimension.
 
 The keyword `max_batch` is used to set a soft limit on the number of points to
 batch at the same time so that memory usage is controlled.
 
-If `integrand_prototype` is present, `bf` is interpreted as in-place, and
-otherwise `bf` is assumed to be out-of-place.
+If `integrand_prototype` is present for either in-place or out-of-place integrands it is
+used to infer the return type of the integrand.
 
 ## iip: In-Place vs Out-Of-Place
 
@@ -3194,7 +3195,8 @@ function DAEFunction{iip, specialize}(f;
         colorvec = __has_colorvec(f) ? f.colorvec : nothing,
         sys = __has_sys(f) ? f.sys : nothing,
         initializeprob = __has_initializeprob(f) ? f.initializeprob : nothing,
-        initializeprobmap = __has_initializeprobmap(f) ? f.initializeprobmap : nothing) where {iip,
+        initializeprobmap = __has_initializeprobmap(f) ? f.initializeprobmap : nothing) where {
+        iip,
         specialize
 }
     if jac === nothing && isa(jac_prototype, AbstractSciMLOperator)
@@ -3890,10 +3892,7 @@ function IntegralFunction(f)
 end
 function IntegralFunction(f, integrand_prototype)
     calculated_iip = isinplace(f, 3, "integral", true)
-    if !calculated_iip
-        throw(IntegrandMismatchFunctionError(calculated_iip, true))
-    end
-    IntegralFunction{true}(f, integrand_prototype)
+    IntegralFunction{calculated_iip}(f, integrand_prototype)
 end
 
 function BatchIntegralFunction{iip, specialize}(f, integrand_prototype;
@@ -3926,10 +3925,7 @@ function BatchIntegralFunction(f; kwargs...)
 end
 function BatchIntegralFunction(f, integrand_prototype; kwargs...)
     calculated_iip = isinplace(f, 3, "batchintegral", true)
-    if !calculated_iip
-        throw(IntegrandMismatchFunctionError(calculated_iip, true))
-    end
-    BatchIntegralFunction{true}(f, integrand_prototype; kwargs...)
+    BatchIntegralFunction{calculated_iip}(f, integrand_prototype; kwargs...)
 end
 
 ########## Utility functions
diff --git a/test/function_building_error_messages.jl b/test/function_building_error_messages.jl
index 7f0ba65ab..daf1c8565 100644
--- a/test/function_building_error_messages.jl
+++ b/test/function_building_error_messages.jl
@@ -474,6 +474,7 @@ intfiip(y, u, p) = y .= 1.0
 for (f, kws, iip) in (
         (intf, (;), false),
         (IntegralFunction(intf), (;), false),
+        (IntegralFunction(intf, 1.0), (;), false),
         (intfiip, (; nout = 3), true),
         (IntegralFunction(intfiip, zeros(3)), (;), true)
     ), domain in (((0.0, 1.0),), (([0.0], [1.0]),), (0.0, 1.0), ([0.0], [1.0]))
@@ -648,9 +649,9 @@ i1(u) = u
 itoo(y, u, p, a) = y .= u * p
 
 IntegralFunction(ioop)
+IntegralFunction(ioop, 0.0)
 IntegralFunction(iiip, Float64[])
 
-@test_throws SciMLBase.IntegrandMismatchFunctionError IntegralFunction(ioop, Float64[])
 @test_throws SciMLBase.IntegrandMismatchFunctionError IntegralFunction(iiip)
 @test_throws SciMLBase.TooFewArgumentsError IntegralFunction(i1)
 @test_throws SciMLBase.TooManyArgumentsError IntegralFunction(itoo)
@@ -665,10 +666,11 @@ bitoo(y, u, p, a) = y .= p .* u
 
 BatchIntegralFunction(boop)
 BatchIntegralFunction(boop, max_batch = 20)
+BatchIntegralFunction(boop, Float64[])
+BatchIntegralFunction(boop, Float64[], max_batch = 20)
 BatchIntegralFunction(biip, Float64[])
 BatchIntegralFunction(biip, Float64[], max_batch = 20)
 
-@test_throws SciMLBase.IntegrandMismatchFunctionError BatchIntegralFunction(boop, Float64[])
 @test_throws SciMLBase.IntegrandMismatchFunctionError BatchIntegralFunction(biip)
 @test_throws SciMLBase.TooFewArgumentsError BatchIntegralFunction(bi1)
 @test_throws SciMLBase.TooManyArgumentsError BatchIntegralFunction(bitoo)