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  4. The area bounded by the lines y - 2x = 2, y = 4 and the y-axis is equal to (in square units)

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Q. The area bounded by the lines $y - 2x = 2, y = 4$ and the $y-axis$ is equal to (in square units)

KEAMKEAM 2016Application of Integrals

Solution:

Area bounded by the lines
$y-2 x=2, y=4$
For $y-2 x=2$
image
$\therefore A=\int_{2}^{4} \frac{(y-2)}{2} d y=\frac{1}{2}\left\{\left[\frac{y^{2}}{2}\right]_{2}^{4}-2[y]_{2}^{4}\right\}=1$