Class 12

Math

Calculus

Application of Integrals

Find the area of circle $4x_{2}+4y_{2}=9$which is interior to the parabola $x_{2}=4y$

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Using the method of integration find the area of the triangle $ABC$, coordinates of whose vertices are $A(2,0),B(4,5)$ and $C(6,3)$

Find the area of the smaller part of the circle $x_{2}+y_{2}=a_{2}$ cut off by the line $x=2 a $.

Find the area of the smaller part of the circle $x_{2}+y_{2}=a_{2}$cut off by the line $x=2 a $

Draw a rough sketch of the curves $y=sinx$ and $y=cosx$, as x varies from $0$ to $2π $, and find the area of the region enclosed between them and the x-axis.

Find the area of the circle $4x_{2}+4y_{2}=9$ which is interior to the parabola $x_{2}=4y$.

Find the area enclosed by the curve $x=3cost,y=2sint$

Find the area of the region bounded by $x_{2}=4y$, $y=2,y=4$and the y-axis in the first quadrant.

Find the area bounded by the curve $y=cosx$between $x=0$and $x=2π$.