Class 12

Math

Calculus

Application Of Integrals

Using integration find the area of the region bounded by the parabola $y_{2}=4x$and the circle $4x_{2}+4y_{2}=9$

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

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

The area of the region described by $A={(x,y):x_{2}+y_{2}≤1$and $y_{2}≤1−x}$is

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

Area lying in the first quadrant and bounded by the circle $x_{2}+y_{2}=4$ and the lines \displaystyle{x}={0}{\quad\text{and}\quad}{x}={2}<{l}{a}{t}{e}{x}> is(A) \displaystyle\frac{<}{{l}}{a}{t}{e}{x}>\pi<{l}{a}{t}{e}{x}> (B) \displaystyle\frac{<}{{l}}{a}{t}{e}{x}>\frac{\pi}{{2}}<{l}{a}{t}{e}{x}> (C) \displaystyle\frac{<}{{l}}{a}{t}{e}{x}>\frac{\pi}{{3}}<{l}{a}{t}{e}{x}> (D) \displaystyle\frac{<}{{l}}{a}{t}{e}{x}>\frac{\pi}{{4}}

Using integration, find the area of the region enclosed between the two circles $x_{2}+y_{2}=4$and $(x−2)_{2}+y_{2}=4.$

Area of the region bounded by the curve $y_{2}=4x$, y-axis and the line $y=3$is(A) 2 (B) $49 $ (C) $39 $ (D) $29 $

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