Question

Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) $\int_0^{\frac{8}{19}} \int_1^2 \frac{x}{\sqrt{x^2 + 19y}} dx dy = \frac{-13}{2} \ln(11) - \frac{9}{2} \ln(22) - 6 \ln(6) + 2 \ln(2) + \frac{9}{2} \ln(30) + \frac{21}{2} \ln(15)$

          Evaluate the iterated integral.
(Use symbolic notation and fractions where needed.)
$\int_0^{\frac{8}{19}} \int_1^2 \frac{x}{\sqrt{x^2 + 19y}} dx dy = \frac{-13}{2} \ln(11) - \frac{9}{2} \ln(22) - 6 \ln(6) + 2 \ln(2) + \frac{9}{2} \ln(30) + \frac{21}{2} \ln(15)$

$Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) ∫0^(8)/(19)∫1^2 (x)/(√(x^2 + 19y)) dx dy = (-13)/(2)ln(11) - (9)/(2)ln(22) - 6 ln(6) + 2 ln(2) + (9)/(2)ln(30) + (21)/(2)ln(15)$

Added by Miguel H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/13/2022

Step 1

Step 1: The given iterated integral is: \int_0^{\frac{8}{19}} \int_1^2 \frac{xdx}{\sqrt{x^2+19y}}dy Show more…

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Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) int_0^((8)/(19)) int_1^2 (xdxdy)/(sqrt(x^(2)+19y))=(-13)/(2)ln(11)-(9)/(2)ln(22)-6ln(6)+2ln(2)+(9)/(2)ln(30)+(21)/(2)ln(15) Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) x dx dy +19y 13 in(11) - in(22) - 6 1n(6) +2 1n(2) + in(30) + 2 in(15) Incorrect