calculate the integral of sin of x

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When I use a integrator in simulink to determine the integral of a sine function that should give to me a -cos(x), instead, it gives me -cos(x) with a bias of +1, why of this?

Accepted Answer

A Jenkins
A Jenkins on 30 Jan 2014
No, the integral of sin(x) is -cos(x)+C. Now you must solve for C.
If you double click your integrator you will see that you have set your initial condition, y(0) by default to be 0. That is, y(0)=0=-cos(0)+C, so C=1.
If you would like the offset, C, to be zero, then you need to change your equation so that y(0)=-cos(0)+0, therefore y(0)=-1. Double click your integrator block and enter -1 instead of zero for the intial condition.

More Answers (1)

Azzi Abdelmalek
Azzi Abdelmalek on 30 Jan 2014
The integral of sin(x) is -cos(x).

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