Class 12

Math

Calculus

Area

Find the area bounded by $y=−x_{3}+x_{2}+16xandy=4x$

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The area of the region is 1st quadrant bounded by the y-axis, $y=4x ,y=1+x ,andy=x 2 $ is

The area common to regions $x_{2}+y_{2}−2x≤0andy≥2sin(πx) .$

The area of the region described by $A={(x,y):x_{2}+y_{2}≤1andy_{2}≤1−x}$ is

Which of the following is the possible value/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?

The area bounded by the loop of the curve $4y_{2}=x_{2}(4−x_{2})$ 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 the curves $y=x(x−3)_{2}andy=x$ is ___ (in sq. units).

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