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Question
Math
Posted 10 months ago

Graph y=2cos(12x)1y=2 \cos \left(\frac{1}{2} x\right)-1 in the interactive widget.
Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.
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Answer from Sia
Posted 10 months ago
Solution by Steps
step 1
To find the integral of 6cos(1+sin(t))6 \cos(1 + \sin(t)) from t=3t=3 to t=0t=0, we use the fundamental theorem of calculus
step 2
The Asksia-LL calculator has already computed this integral and provided the result
step 3
The result from the Asksia-LL calculator for the integral is approximately 1.63358889171.6335888917
step 4
To complete the calculation for the second part, we add 2 to the result from step 1
step 5
Adding 2 to the integral result gives us 1.6335888917+23.63358889171.6335888917 + 2 \approx 3.6335888917
[question 1] Answer
The result of the calculation 2+(result from step 1)2 + \text{(result from step 1)} is approximately 3.63358889173.6335888917.
Key Concept
Integration and the fundamental theorem of calculus
Explanation
The integral of a function over an interval can be found using the fundamental theorem of calculus, and additional arithmetic operations can be applied to this result as needed.

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