Class 12

Math

Calculus

Area

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__.

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The area enclosed by the curve $y=4−x_{2} ,y≥2 sin(22 xπ $, and the x-axis is divided by the y-axis in the ratio

If $(a,0)$, agt 0, is the point where the curve $y=sin2x−3 sinx$ cuts the x-axis first, A is the area bounded by this part of the curve, the origin and the positive x-axis. Then

The area of region(s) enclosed by the curve $y=x_{2}$ and $y=∣x∣ $ is

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

If the area bounded by the curve $f(x)=x_{1/3}(x−1)$ and the x-axis is A, then the value of 28A is__.

Find the area of the region enclosed by $y=−5x−x_{2}andy=x$ on interval $[−1,5]$

The positive valu of the parameter 'k' for which the area of the figure bounded by the curve $y=sin(kx),x=3k2π ,x=3k5π $ and x-axis is less than 2 can be

Consider the area $S_{0},S_{1},S_{2}….$ bounded by the x-axis and half-waves of the curve $y=e_{−x}sinx,wherex≥0.$ $n=0Σ ∞ S_{n}$ is equal to