Class 12

Math

Calculus

Area

Area bounded by the min. ${∣x∣,∣y∣}=1$ and the max. ${∣x∣,∣y∣}=2$ is

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Consider the area $S_{0},S_{1},S_{2}….$ bounded by the x-axis and half-waves of the curve $y=e_{−x}sinx,wherex≥0.$ The sequence $S_{0},S_{1},S_{2},…,$ forms a G.P. with common ratio

Find the area of the region bounded by the x-axis and the curves defined by $y=tanx(where−3π ≤x≤3π )andy=cotx(where6π ≤x≤23π ).$

The area (in sq. units) of the region described by ${(x,y),y_{2}≤2xandy≥4x−1}$ is

If the line $x=α$ divides the area of region $R={(x,y)∈R_{2}:x_{3}≤y≤x,0≤x≤1}$ into two equal parts, then

Area enclosed by the curve $y=f(x)$ defined parametrically as $x=1+t_{2}1−t_{2} ,y=1+t_{2}2t $ is equal to

Let $O(0,0),A(2,0),andB(1,3 1 $ be the vertices of a triangle. Let R be the region consisting of all theose points P inside $ΔOAB$ which satisfy $d(P,OA)≤min[d(P,AB)],$ where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

The area of the region containing the points (x,y) satisfy- ing $4≤x_{2}+y_{2}≤2(∣x∣+∣y∣)$ is

Find a continuous function f, where $(x_{4}−4x_{2})≤f(x)≤(2x_{2}−x_{3})$ such that the area bounded by $y=f(x),y=x_{4}−4x_{2},$ the y-axis, and the line $x=t,where(0≤t≤2)$ is k times the area bounded by $y=f(x),y=2x_{2}−x_{3},$ y-axis, and line $x=t(where0≤t≤2).$