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The error bound for a trapezoid rule is given with this formula:
Where n is the number of points we used in the approximation, a and b are starting and ending point of an integral, and K is the number such that:
In order to find K we must find the second derivative of our function:
From this, we can see that our K is 120. This is the amplitude of this periodic function.
Now we can calculate the error bound:
Since you did not specify the interval of integration I cannot compute the final error bound. You can simply plug in the numbers to get the answer.
Where n is the number of points we used in the approximation, a and b are starting and ending point of an integral, and K is the number such that:
In order to find K we must find the second derivative of our function:
From this, we can see that our K is 120. This is the amplitude of this periodic function.
Now we can calculate the error bound:
Since you did not specify the interval of integration I cannot compute the final error bound. You can simply plug in the numbers to get the answer.