Question

integral

Answer 1

Do you believe there is a finite, closed-form solution? I don't.

Answer 2

yes, it was in the test and i had no clue.

Answer 3

Were there finite limits?

Answer 4

yep from y^(1/4) to 2

Answer 5

\(x = y^{1/4}\;or\;y = x^{4}\)?

A double integral? Can we exchange the order of the integration?

Answer 6

ya it is iterated integral, we can surely exchange but no clue how

Answer 7

alright lemme just right the real question instead of just first part

Answer 8

\[\int\limits_{0}^{16}\int\limits_{x^\frac{ 1 }{ 4 }}^{2} \frac{ 1 }{ 1+y^5 } dy dx\]

Answer 9

\(y = x^{1/4}\) is monotonic on [0,16]. It should be relatively easy.

\(\int\limits_{0}^{2}\;\int\limits_{0}^{y^{4}}\dfrac{1}{1+y^{5}}\;dx\;dy\)

How's that? Did we cover the same area?