Question

Evaluate the double integral (2int4)(1int9)ye^x dydx

Answer 1

hold e^x constant: k

what is the integration of ky dy?

Answer 2

Isn't it ky^2/2?

Answer 3

yes

soo

k9^2/2 - k1^2/2

k(81/2 - 1/2)

40k

now integrate 40 e^x dx

Answer 4

40e^x + c

Answer 5

the +C is not needed when we have limits

Answer 6

So it's 40e^4-40e^2?

Answer 7

40e^4 - 40e^2

yes

Answer 8

Fanned. You are so smart!

Answer 9

i have my moments of clarity :) good luck