Verla
MathCalculus

Evaluate the Double Integral Over the Given Region R: 0 ≤ x ≤ ln 6, 0 ≤ y ≤ ln 5

Evaluate the Rutgers exponential double integral on the rectangle bounded by ln 6 in x and ln 5 in y.

Question

Evaluate the double integral over the given region RR:

∬Rex−y dx dy,R={(x,y):0≤x≤ln⁡6, 0≤y≤ln⁡5}.\iint_R e^{x-y}\,dx\,dy,\qquad R=\{(x,y):0\le x\le\ln 6,\ 0\le y\le\ln 5\}.

Give an integer or simplified fraction.

This question has been answered.

Explore the full answer and supporting references to better understand this question.

Verla BasicBest value

$19.99/month

  • Everything in Study Pass
  • Assignments with writing output
  • AI detection and humanizer
  • Basic quotas across every tool
Study Pass

$0.99/month

  • Entire question library
  • Knowledge guides and sources
  • Detailed answers and explanations
  • No AI tools or quotas

Evidence boundary

This evaluates Rutgers Math 136 Final Exam Part 2, question 4, with upper bounds ln 6 for x and ln 5 for y. The value follows from exact antiderivatives; it does not apply to a differently bounded region.