diff --git a/GPy/testing/kernel_tests.py b/GPy/testing/kernel_tests.py
index 99951eb1..ef72d819 100644
--- a/GPy/testing/kernel_tests.py
+++ b/GPy/testing/kernel_tests.py
@@ -416,6 +416,21 @@ class KernelGradientTestsContinuous(unittest.TestCase):
         k.randomize()
         self.assertTrue(check_kernel_gradient_functions(k, X=self.X, X2=self.X2, verbose=verbose))
 
+    def test_integral(self):
+        k = GPy.kern.Integral(1)
+        k.randomize()
+        self.assertTrue(check_kernel_gradient_functions(k, X=self.X, X2=self.X2, verbose=verbose))
+
+    def test_multidimensional_integral_limits(self):
+        k = GPy.kern.Multidimensional_Integral_Limits(2)
+        k.randomize()
+        self.assertTrue(check_kernel_gradient_functions(k, X=self.X, X2=self.X2, verbose=verbose))
+
+    def test_integral_limits(self):
+        k = GPy.kern.Integral_Limits(2)
+        k.randomize()
+        self.assertTrue(check_kernel_gradient_functions(k, X=self.X, X2=self.X2, verbose=verbose))
+
     def test_Linear(self):
         k = GPy.kern.Linear(self.D)
         k.randomize()