MEDIUM
JEE Main
IMPORTANT
Earn 100

Find the area bounded by the curves x=y2 and x=3-2y2.

Important Questions on Area Enclosed by Curves

HARD
JEE Main
IMPORTANT
Show that the area of the loop of the curve y2=x2 1-x is 815.
HARD
JEE Main
IMPORTANT
Find the area bounded by the curve 2x2-y=0 and the lines x=3, y=1 and the x-axis all in first quadrant.
HARD
JEE Main
IMPORTANT
Sketch the region bounded by the curve y=122-3x-2x2 below the line y=x+1 and above the x-axis, also find its area.
MEDIUM
JEE Main
IMPORTANT
Find the area bounded by the curve y=4-x2, x2+y2-4x=0 and x-axis.
HARD
JEE Main
IMPORTANT
Show that the ratio of the areas into which the circle x2+y2=64 is divided by the curve y2=12x is 4π+3:8π-3
HARD
JEE Main
IMPORTANT
Prove that the ratio in which the area of the semi-circle, y=5-x2 is divided by the normal to it at -1, 2 is π+2 sin-1 15 :π-2 sin-1 15.
MEDIUM
JEE Main
IMPORTANT
The area bounded by the curve y=fx, the x-axis and the ordinates x=1 and x=b  b>1  is b-1sin3b+4(in sq. units). Then find fx. 
MEDIUM
JEE Main
IMPORTANT
Find the area bounded by the curve 20y=7-10x2+20x3-10x4, the axis of x and the two ordinates, corresponding to the points of maxima of this function.