Class 12

Math

Calculus

Area

The area bounded by $y=x_{2}+2andy=2∣x∣−cosπx$ is equal to

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Sketch the region bounded by the curves $y=x_{2}andy=1+x_{2}2 $. Find the area.

Area of the region bounded by the curve $y=tanx$ and lines y = 0 and x = 1 is

Area of the region bounded by the curve $y=e_{x_{2}}$ and the line y=e is

$Iff:[−1,1]→[−21 ,21 ],f(x)=1+x_{2}x ,$ then find the area bounded by $y=f_{−1}(x),x$ axis and lines $x=21 ,x=−21 .$

Find the area bounded by $y=∣∣ sinx−21 ∣∣ andy=1forx∈[0,π]$

Consider two regions $R_{1}:points P are nearer to (1,0) than tox=−1.$ $R_{2}:Points P are nearer to (0,0) than to (8,0)$ Find the area of the region common to $R_{1}andR_{2}.$

The area of the region enclosed by the curves $y=x,x=e,y=x1 $ and the positive x-axis 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__.