Class 12

Math

Calculus

Application of Integrals

Find the area enclosed by the ellipse $a_{2}x_{2} +b_{2}y_{2} =1$.

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Find the area of the region bounded by the curves $y_{2}=2y−x$ and the y-axis.

Find the area, lying above the x=axis and included between the circle $x_{2}+y_{2}=8x$ and the parabola $y_{2}=4x˙$

Sketch the region bounded by the curves $y=5−x_{2} $ and $y=∣x−1∣$ and find its area.

The area enclosed by the curves $xy_{2}=a_{2}(a−x)$ and $(a−x)y_{2}=a_{2}x$ is

Find the area bounded by the curve $x_{2}=y,x_{2}=−yandy_{2}=4x−3$

The area of the region bounded by the curve $y=e_{x}$ and lines $x=0andy=e$ is $e−1$ (b) $∫_{1}1n(e+1−y)dy$ $e−∫_{0}e_{x}dx$ (d) $∫_{1}1nydy$

Find the area bounded by the curve $y=(4−x_{2})$, the y-axis and the lines $y=0,y=3$.

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