Which one of the following equals ∫−10∫x−x(x+y)dydx. A. ∫3π/45π/4∫0−1r2(cosθ+sinθ)drdθ B. ∫3π/45π/4∫01r(cosθ+sinθ)drdθ C. ∫3π/45π/4∫0−secθr2(cosθ+sinθ)drdθ D. ∫3π/45π/4∫0−secθr(cosθ+sinθ)drdθ

The first step to solve this problem is to convert the original Cartesian integral into polar coordi...

Resuelto Which one of the following equals ∫−10∫x−x(x+y)dydx.

Nuestra ayuda de expertos desglosó tu problema en una solución confiable y fácil de entender.

Pregunta: Which one of the following equals ∫−10∫x−x(x+y)dydx. A. ∫3π/45π/4∫0−1r2(cosθ+sinθ)drdθ B. ∫3π/45π/4∫01r(cosθ+sinθ)drdθ C. ∫3π/45π/4∫0−secθr2(cosθ+sinθ)drdθ D. ∫3π/45π/4∫0−secθr(cosθ+sinθ)drdθ
Muestra el texto de la transcripción de la imagen
Hay 2 pasos para resolver este problema.
Solución
Paso 1
The first step to solve this problem is to convert the original Cartesian integral into polar coordi...
Mira la respuesta completa
Paso 2
Desbloquea
Respuesta
Desbloquea

Texto de la transcripción de la imagen:

Which one of the following equals

\int_{- 1}^{0} \int_{x}^{- x} (x + y) d y d x .

\int_{3 π /4}^{5 π /4} \int_{0}^{- 1} r^{2} (cos θ + sin θ) d r d θ

\int_{3 π /4}^{5 π /4} \int_{0}^{1} r (cos θ + sin θ) d r d θ

\int_{3 π /4}^{5 π /4} \int_{0}^{- s e c θ} r^{2} (cos θ + sin θ) d r d θ

\int_{3 π /4}^{5 π /4} \int_{0}^{- s e c θ} r (cos θ + sin θ) d r d θ