Class 12

Math

Calculus

Application of Integrals

the area between the curves $y=x_{2}$ and $y=4x$ is

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Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).

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

Find the area of the region bounded by the ellipse $16x_{2} +9y_{2} =1$.

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

Find the area of the region ${(x,y):y_{2}≤4x,4x_{2}+4y_{2}≤9}$

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

In Figure, AOBA is the part of the ellipse $9x_{2}+y_{2}=36$in the first quadrant such that $OA=2andOB=6$. Find the area between the arc AB and the chord AB.