Class 12

Math

Calculus

Area

If A is the area bounded by the curves $y=1−x_{2} andy=x_{3}−x,then the value ofπ/A$ is ___.

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The area bounded by the curves $x3 +y=2g_{e}(x−y3 )−2g_{e}2,y=3 x,$ $y=−3 1 x+2,$ is

The area enclosed between the curve $y=sin_{2}xandy=cos_{2}x$ in the interval $0≤x≤π$ is

Let S be the area bounded by the curve $y=sinx(0≤x≤π)$ and the x-axis and T be the area bounded by the curves $y=sinx(0≤x≤2π ),y=acosx(0≤x≤2π ),$ and the x-axis $(wherea∈R_{+})$. The value of (3a) such that $S:T=1:31 $ is___.

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

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 value of $S_{0}$ is

The area bounded by the curves y=cos x and y= sin x between the ordinates x=0 and $x=3π/2$ is

If the area bounded by the curve $y=x_{2}+1$ and the tangents to it drawn from the origin is A, then the value of 3A is __.

The area bounded by $y=x_{2},y=[x+1],0≤x≤2$ and the y-axis is where $[.]$ is greatest integer function.