Class 12

Math

Calculus

Area

If $a(a>0)$ is the value of parameter for each of which the are of the figure bounded by the straight line $y=1+a_{4}a_{2}−ax $ and the parabola $y=1+a_{4}x_{2}+2ax+3a_{2} $ is the greatest, then the value of $a_{4}$ is ___

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Sketch the curves and identify the region bounded by $x=21 ,x=2,y=Inx,andy=2_{x}.$ Find the area of this region.

If S is the sum of possible values of c for which the area of the figure bounded by the curves $y=sin2x,$ the straight lines $x=π/6,x=c,$ and the abscissa axis is equal to $1/2,$ then the value of $π/S$ is__.

Consider curves $S_{1}:∣x∣ +∣y∣ =a ,S_{2}:x_{2}+y_{2}=a_{2}andS_{3}:∣x∣+∣y∣=a.Ifαis area bounded byS_{1}andS_{2},βis area bounded byS_{1}andS_{3}andγ$ is the area bounded by $S_{2}andS_{3},$ then

The area bounded by the curve $y=sin_{2}x−2sinx$ and the x-axis, where $x∈[0,2π]$, is

The area enclosed between the curves $y=g_{e}(x+e),x=g_{e}(y1 )$, and the x-axis is

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

Let the straight line x= b divide the area enclosed by $y=(1−x)_{2},y=0,andx=0$ into two parts $R_{1}(0≤x≤b)andR_{2}(b≤x≤1)$ such that $R_{1}−R_{2}=41 .$ Then b equals

Let f(x) = minimum $(x+1,1−x )for allx≤1.$ Then the area bounded by y=f(x) and the x-axis is