Is Sensory Stimulation the same as Sensory Integration

No.

The brain understands the body as well as the environment from the information provided by the senses. When the senses are not giving a consistent and appropriate information (feedback) the brain is confused. Sensory Stimulation is the method in which we stimulate the senses to make them work properly. In other words, we increase the intensity of feedback e.g. bright lights for vision, swinging for vestibular and music for auditory senses. As more and more information reaches the brain from a particular source, the brain starts responding to them. This is the concept of Sensory Stimulation.

Sensory Integration on the other hand is not only about increasing the intensity of inputs but also about making the child respond with appropriate responses. How do we know that the child is able to take in an information? It is only through the way he responds to that input, isn't it? If you turn (response) when you hear your name being called (input), that means you were able to hear it as well as figured out that it is your name. So, Sensory Integration focuses on the use of multiple senses at the same time to get an appropriate response. Sometimes we do require increased intensity, talking loud in a noisy environment, to communicate, which means that the focus is also on modifying the intensity of the input to get an appropriate response.

If a child is made to swing, it is sensory stimulation (for vestibular). If the child is pumping the swing himself or herself, it is sensory integration.