Class 12 Math Calculus Application of Integrals

Find the area of the region bounded by $y_{2}=9x,x=2,x=4$ and the $x$-axis in the first quadrant.

Solution: The area of the region bounded by the curve, $y_{2}=9x,x=2$ and $x=4$, and the $x$-axis is the area $ABCD$.

Area of $ABCD$ $=∫_{2}ydx$

$=∫_{2}3x dx$

$=3[23 x_{23} ]_{2}$

$=2[x_{23}]_{2}$

$=2[(4)_{23}−(2)_{23}]$

$=2[8−22 ]$

$=(16−42 )units$

Area of $ABCD$ $=∫_{2}ydx$

$=∫_{2}3x dx$

$=3[23 x_{23} ]_{2}$

$=2[x_{23}]_{2}$

$=2[(4)_{23}−(2)_{23}]$

$=2[8−22 ]$

$=(16−42 )units$

Similar topics

relations and functions

integrals

trigonometric functions

inverse trigonometric functions

application of derivatives

relations and functions

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inverse trigonometric functions

application of derivatives

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