show work for 33 and 35 please. Answers are 33. 4/11 and 35. 1/433. ſf (x³ − y³)² dA; R = {(x, y): 0 ≤ x ≤ 1, −1 ≤ y ≤ 1} - R 34. If cos (XVY) dA; R = cos (x√y) dA; R = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ π²/4} R 35. [[ x³y cos (x²y²) dA; R = {(x, y): 0 ≤ x ≤ √m/2,0 ≤ y ≤ 1} R

33) int_0^1int_-1^1(x^5-y^5)^2dydx=int_0^1int_-1^1(x^10+y^10-2x^5y^5)dydx First Integrate first with respect to y and then integrate with respect to x int_-1^1(x^10+y^10-2x^5y^5)dy=[x^10y+y^11/11-2x^5y^6/6]_-1^1

Resuelto show work for 33 and 35 please. Answers are 33. 4/11

¡Tu solución está lista!

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

Mira la respuesta

Pregunta: show work for 33 and 35 please. Answers are 33. 4/11 and 35. 1/433. ſf (x³ − y³)² dA; R = {(x, y): 0 ≤ x ≤ 1, −1 ≤ y ≤ 1} - R 34. If cos (XVY) dA; R = cos (x√y) dA; R = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ π²/4} R 35. [[ x³y cos (x²y²) dA; R = {(x, y): 0 ≤ x ≤ √m/2,0 ≤ y ≤ 1} R
show work for 33 and 35 please. Answers are 33. 4/11 and 35. 1/4

33. ſf (x³ − y³)² dA; R = {(x, y): 0 ≤ x ≤ 1, −1 ≤ y ≤ 1} - R 34. If cos (XVY) dA; R = cos (x√y) dA; R = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ π²/4} R 35. [[ x³y cos (x²y²) dA; R = {(x, y): 0 ≤ x ≤ √m/2,0 ≤ y ≤ 1} R

Muestra el texto de la transcripción de la imagen
Hay 2 pasos para resolver este problema.
Solución
Paso 1
33) $\int_{0}^{1} \int_{- 1}^{1} {(x^{5} - y^{5})}^{2} d y d x = \int_{0}^{1} \int_{- 1}^{1} (x^{10} + y^{10} - 2 x^{5} y^{5}) d y d x$
First Integrate first with respect to $y$ and then integrate with respect to $x$
$\int_{- 1}^{1} (x^{10} + y^{10} - 2 x^{5} y^{5}) d y = {[x^{10} y + \frac{y^{11}}{11} - 2 x^{5} \frac{y^{6}}{6}]}_{- 1}^{1}$
Mira la respuesta completa
Paso 2
Desbloquea
Respuesta
Desbloquea

Texto de la transcripción de la imagen:

33.

\iint_{R} (x^{5} - y^{5})^{2} d A; R = {(x, y) : 0 \leq x \leq 1, - 1 \leq y \leq 1}

34.

\iint_{R} cos (x y) d A; R = {(x, y) : 0 \leq x \leq 1, 0 \leq y \leq π^{2} /4}

35.

\iint_{R} x^{3} y cos (x^{2} y^{2}) d A; R = {(x, y) : 0 \leq x \leq π /2, 0 \leq y \leq 1

¡Tu solución está lista!

Estudia mejor, ¡ahora en español!