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The area bounded by the line y=3x from limits x=0 to x=4 will be 24.
Integration is defined as the adding up all the small units to find the whole unit.
It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.
So by integrating the function we will get the area.
[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]
[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]
[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]
[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]
[tex]\int\limits^4_0 y= 24[/tex]
hence the region bounded by the line y=3x will have the area of 24 square units.
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