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Problem

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15 Dec 2021

Given information

Given: where is the function whose graph is shown.

To find: for, and
 

Step-by-step explanation

Step 1.

We use the concept that "The net area contained between the graph and the x-axis is the value of a definite integral."

The given function is.

i. To find the value of for.

   

The integral value of a function over a trivial integral is Zero.

ii. To find the value of for .

We see the graph from  to  

 

From the graph, we get a triangle with a base and height

And, geometrically the area under the graph from to is

 

 

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