Find the integral below.

Question

Find the integral below.

 

    ∫∫1_R^ (x+2y) dar={(x, y):0≤x≤3, 1≤y≤4}

 

 

Answer 1

Hey! Lets solve this shall we ?

So, lets make sure we set this up correctly as a double integral such that

∫₁⁴ ∫₀³ (x + 2y) dx dy , from the given intervals. Then, after applying the partial integration technique, we get

(9/2)y + 3y² ]⁴₁ = 117/2

I hope this helped!