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Using integration, find the area of regi...

Using integration, find the area of region bounded by the line 2x + y = 8, the y-axis and the lines y = 2 and y = 4.

A

5 sq units

B

9 sq unit

C

6 sq units

D

2 sq units

Text Solution

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The correct Answer is:
To find the area of the region bounded by the line \(2x + y = 8\), the y-axis, and the lines \(y = 2\) and \(y = 4\), we can follow these steps: ### Step 1: Rewrite the line equation First, we need to express the line equation \(2x + y = 8\) in terms of \(y\): \[ y = -2x + 8 \]
To find the area of the region bounded by the line \(2x + y = 8\), the y-axis, and the lines \(y = 2\) and \(y = 4\), we can follow these steps: ### Step 1: Rewrite the line equation First, we need to express the line equation \(2x + y = 8\) in terms of \(y\): \[ y = -2x + 8 \] ...
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