class 12

Math

Calculus

Application of Integrals

The area of the region bounded by the curves $y=cosx1+sinx $ and $y=cosx1−sinx $ bounded by the lines x=0 and $x=4π $ is

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The area bounded by the curve $y_{2}=8xandx_{2}=8y$ is $316 squ˙nits$ b. $163 squ˙nits$ c. $314 squ˙nits$ d. $143 squ˙nits$

Using integration, find the area of the triangle whose vertices are $A(2,3),B(4,7)$ and $C(6,2)$.

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

Using integration, find the area of the triangle, the equations of whose sides are $y=2x+1,y=3x+1$ and $x=4$.

Find the area of the region bounded by the curve $y_{2}=4x$ and the line $x=3$.

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 curves $(x−1)_{2}+y_{2}=1$and $x_{2}+y_{2}=1$.

Area lying in the first quadrant and bounded by the circle $x_{2}+y_{2}=4$ and the lines $x=0$ and $x=2$ is