HARD
12th ICSE
IMPORTANT
Earn 100

Find the area of the region bounded by the line y=3x+2, X-axis and the ordinates x=-1 and x=1.

Important Questions on Applications of Integrals

HARD
12th ICSE
IMPORTANT
Using integration, find the area of the region x, y:0yx2+1, 0yx+1, 0x2.
MEDIUM
12th ICSE
IMPORTANT
Find the area of the region bounded by the curve y=2x-x2, and x-axis.
HARD
12th ICSE
IMPORTANT
Find the area under the curve y=3x+4 between x=0, x=4 and the X-axis.
HARD
12th ICSE
IMPORTANT
Find the area of the region bounded by the triangle whose vertices are (1,1), (0,5) and (3,2) using integration.
MEDIUM
12th ICSE
IMPORTANT
Find the area of the triangle formed by positive x-axis, and the normal and tangent to the circle x2+y2=4 at 1,3, using integration.
MEDIUM
12th ICSE
IMPORTANT
Show that the area of the region bounded by x2a2+y2b2=1 is πab. Also deduce area of the circle x2+y2=a2.
HARD
12th ICSE
IMPORTANT
Using integration, find the area of the region bounded by the curves y=5-x2 and y=x-1.
MEDIUM
12th ICSE
IMPORTANT
Find the area of the region bounded by the curves y=cosx, y=1-2xπ.