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Posted 2 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 2 months ago
Solution by Steps
step 1
To evaluate the definite integral, we use the given function under the square root
step 2
The function to integrate is 16e2t+sin2(1+t)\sqrt{16 e^{-2 t} + \sin^2(1 + \sqrt{t})}
step 3
We integrate the function from t=1t=1 to t=3t=3
step 4
The result of the integration is approximately 1.86061.8606
1 Answer
The integral of the given function from t=1t=1 to t=3t=3 is approximately 1.86061.8606.
Key Concept
Definite Integration of Functions
The definite integral of a function gives the area under the curve of the function between two points on the x-axis. In this case, the function is a combination of an exponential decay and a squared sine function, integrated from t=1t=1 to t=3t=3.

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