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Double Double Worksheets - Download free PDFs

Multiple Integrals

Double

1. ∫₋₂¹∫₀^√4−y²xy²dxdy

1. ∫₋₂¹∫₀^√4−y²xy²dxdy

2. ∫₀⁹∫_−π2^π2e^−r²rdrdθ

2. ∫₀⁹∫_−π2^π2e^−r²rdrdθ

3. ∫₀²∫_y2¹x²ydxdy

3. ∫₀²∫_y2¹x²ydxdy

4. ∫₀¹∫₀¹xydxdy

4. ∫₀¹∫₀¹xydxdy

5. ∫₀³∫₀²3x²y³dxdy

5. ∫₀³∫₀²3x²y³dxdy

6. ∫₀⁴∫₁⁵(y²+3x²)dxdy

6. ∫₀⁴∫₁⁵(y²+3x²)dxdy

7. ∫₁²∫₀¹x²ydxdy

7. ∫₁²∫₀¹x²ydxdy

8. ∫₀⁴∫₀⁴e^(4x+5y)dxdy

8. ∫₀⁴∫₀⁴e^(4x+5y)dxdy

9. ∫₀^2π∫₀^√5√4+r²rdrdθ

9. ∫₀^2π∫₀^√5√4+r²rdrdθ

10. ∫₀^π2∫₀^1+cos(θ)sin(θ)rrdrdθ

10. ∫₀^π2∫₀^1+cos(θ)sin(θ)rrdrdθ

Answers

Multiple Integrals

Double

1. 2710

2. 0

3. 25

4. 14

5. 162

6. 17443

7. 12

8. e³⁶−e¹⁶−e²⁰+120

9. 38π3

10. 54