I have to create app which has requirement to integrate calculator. I want to know that is there any api which will show a calculator. or i have to create the calculator?
I don't believe there is any particular API for interacting with the built-in calculator.
You are also unable to launch other applications from within your application, unless you are using URL Schemes (here is a long list of supported schemes), so you will need to create your own calculator.
Here is a similar question: Launch an app from within another (iPhone)
NO, You have create the calculator and integrate it with application