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จงพิจารณา I=int_(0)^(3)int_(-sqrt(9-x^(2)))^(sqrt(9-x^(2)))f(x,y)dydx ถ้าเขียน I เป็นปริพันธ์ซ้อนในระบบพิกัดเชิงขั้ว I=int_(a)^(b)int_(g_(1))^(g_(2))f(r,theta)drd theta แล้ว 2sin a+3sin b มีค่าเท่ากับข้อใด

จงพิจารณา I=∫03∫−9−x29−x2f(x,y)dydx I=\int_{0}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt{9-x^{2}}} f(x, y) d y d x \newlineถ้าเขียน I I เป็นปริพันธ์ซ้อนในระบบพิกัดเชิงขั้ว I=∫ab∫g1g2f(r,θ)drdθ I=\int_{a}^{b} \int_{g_{1}}^{g_{2}} f(r, \theta) d r d \theta แล้ว 2sin⁡a+3sin⁡b 2 \sin a+3 \sin b มีค่าเท่ากับข้อใด

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Q. จงพิจารณา I=∫03∫−9−x29−x2f(x,y)dydx I=\int_{0}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt{9-x^{2}}} f(x, y) d y d x \newlineถ้าเขียน I I เป็นปริพันธ์ซ้อนในระบบพิกัดเชิงขั้ว I=∫ab∫g1g2f(r,θ)drdθ I=\int_{a}^{b} \int_{g_{1}}^{g_{2}} f(r, \theta) d r d \theta แล้ว 2sin⁡a+3sin⁡b 2 \sin a+3 \sin b มีค่าเท่ากับข้อใด
  1. Convert to Polar: Convert the given Cartesian double integral to polar coordinates.
  2. Write Polar Integral: Write the polar coordinate version of the integral.
  3. Identify Limits: Identify the values of aa and bb from the limits of θ\theta.
  4. Calculate Expression: Calculate 2sin⁡a+3sin⁡b2\sin a + 3\sin b.

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