Class 12

Math

Calculus

Application of Integrals

Find the area enclosed between the parabola $y_{2}=4ax$and the line $y=mx$.

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The area of the circle $x_{2}+y_{2}=16$exterior to the parabola $y_{2}=6x$is(A) $34 (4π−3 )$ (B) $34 (4π+3 )$(C) $34 (8π−3 )$ (D) $34 (8π+3 )$

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.

Area lying between the curve $y_{2}=4x$ and $y=2x$ is

Using integration, find the area of the region bounded by the lines $y=1+∣x+1∣,x=−2,x=3$ and $y=0$.

Find the area of the region bounded by $y_{2}=9x,$$x=2,x=4$and the x-axis in the first quadrant.

Find the area bounded by the curve $x_{2}=4y$and the line $x=4y_{2}$.

Find the area of the region included between the parabola $y_{2}=4x$ and the circle $x_{2}+y_{2}−8x=0$, lying in the first quadrant.

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