How to implement the integration

I want to get the value of x for the time which is the simulation time. SO i need help how to do the above equation in simulink. I am new to this.

Answer 1

[Walter Roberson]

There are multiple ways, including feeding in the Simulation time as a signal and using a Math block or two in order to calculate 1/2 * t^2

[knight wolf]

Thank you for your answer. In your reply, you have done the integration in mind . But i want the integration to be done by the matlab itself, is there any specific way if suppose i dont know integrating t is half of t square.

[Walter Roberson]

Use https://www.mathworks.com/help/simulink/slref/integrator.html

Answer 2

[Jan]

This is 0.5 * t^2 + C with C is a constant expression depending e.g. on the initial value of t. For t(0)=0, C is 0 also.

Do you need the solution only, or is it a homework question to solve this in Simulink? If so, please mention this explicitly.