Evaluate the following iterated integrals. int_1^3int_1^2(y^2+y)dx dy

Cem Hayes 2021-01-28 Answered
Evaluate the following iterated integrals. 1312(y2+y)dx dy
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

faldduE
Answered 2021-01-29 Author has 109 answers
Let the given integral be I -
I=13(y2+y)[12dx]dy
Integrating with respect to x,
I=13(y2+y)[x]12dy
I=13(y2+y)(21)dy
I=13(y2+y)dy
Integrating equation with respect to y,
I=13(y2+y)dy
I=[y33+y22]13
I=(333+322)(133+122)
I=273+921312
I=54+27236
I=766
I=383
Hence,
1312(y2+y)dxdy=383
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more