Question

Evaluate ʃ₀ᵌ ʃ₁² xy (1+x+y)dxdy

Answer 1

Answer:

26.25

Step-by-step explanation:

I = ʃ₀ᵌ ʃ₁² xy (1+x+y)dxdy

I =  ʃ₀ᵌ ʃ₁² x (y+xy+y²)dxdy

I =  ʃ₀ᵌ  xdx ʃ₁²(y+xy+y²)dy

I =  ʃ₀ᵌ  xdx (y²/2+xy²/2+y³/3)

I =  ʃ₀ᵌ  xdx {(4/2+4x/2+8/3) - (x + 5/6)}

I =  ʃ₀ᵌ  x ( x + 23/6)dx

I =  ʃ₀ᵌ ( x ² + 23/6x)dx

I= x³/3 + 23x²/12

I= 3² + 23x9/12

I= 9 + 69/4

I = 26.25