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# Area of Region Bounded by Parametrically Defined or Polar Curves Worksheet

Area of Region Bounded by Parametrically Defined or Polar Curves Worksheet
• 1. Find the area of region bounded parametrically, when first polar curve f (Ñ³) = sin Ñ³ and other polar curve is g(Ñ³) = cos Ñ³, and these curve s lie between [-π/2, π/2]?
1. 2
2. 0
3. 3
4. 1
• 2. Find the area of region bounded by parametrically where one polar curve is f (Ñ³) = 2cos Ñ³ and other polar curve is g (Ñ³) = sin2Ñ³, and these curve s are lie between [-π/2, π/2] interval?
1. (π + 8)/2
2. (π - 8)/2
3. (π - 8)
4. 0
• 3. Find the area of region bounded by parametrically where first polar curve f(x) = 3 + cos x and other polar curve g(x) = cos x, and these curve s lie between [-π/2, π/2]?
1. 2
2. π
3. 3
• 4. Find the area of region bounded where first polar function f(x) = tan2x and other polar function g(Ñ³) =  2+ cos x  ,and these curve lie between [-π/2 ,π/2]?
1. 2
2. π
3. π +2
4. 2π +2
• 5. Find the area of region bounded by parametrically where first polar function f(x) = ∫dx/ sin2x.xdx and other polar function g(x) = 2cos x, and these curve lie between [-π/4, π/4]?
1. √2 (2-√2)
2. 0
3. 2/√2 (2-√2)
4. 2/ (2-√2)
• 6. Find the area of region bounded by parametrically where first polar curve f(Ñ³) = sin Ñ³ + cos Ñ³ and other polar curve g(Ñ³) = tan Ñ³, and these curve lie between [-π/2, π/2]?
1. 2 -
2. 3 -
3. 4 -
4. 5 -
• 7. Find the area of region bounded by parametrically where first polar function f(x) = sin x/cos2x dx and other polar function g(x) = cotx, and these curve lie between [-π/3, π/3]?
1. 2
2. 0
3. 4
4. 1
• 8. Find the area of region bounded by parametrically where first polar curve f(Ñ³) = tan Ñ³ and other polar curve g(Ñ³) = cos Ñ³, and these curve lie between [-π/4, π/4]?
1. 2
2. 2 /√2
3. 1 /√2
4. 2 /√2
• 9. Find the area of region bounded by parametrically where first polar function f(x) = 2 +4sin x and other polar function g(x) = 3cos x, and these curve  lie between [-π/2, π/2]?
1. 2
2. 6+2π
3. 6-2π
4. 1
• 10. Find the area of region bounded by parametrically where first polar curve f(x) = sin x and other polar curve g(x) = cos x + tan x, and these curve  lie between [-π/2, π/2]?
1. 4
2. 0
3. Undefined
4. 1
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