[tex](adsbygoogle = window.adsbygoogle || []).push({});

\int_0^1\int_0^y e^{x^2} dx dy

[/tex]

The region I am integrating over should look like this graph, right?

I tried switching the bounds but I am left where what I started.

since 0 < x < y, and 0 < y < 1

I can switch to 0 < x < 1 , and x < y < 1

leaving me with the integral [tex]

\int_0^1\int_x^1 e^{x^2} dy dx

[/tex]

integrating gives e^{x2}y

then substituting the values for y gives [tex]

\int_0^1 e^{x^2} - e^{x^2}x dx

[/tex]

Am I integrating over the wrong bounds? I know if 0 < y < x, it would work.

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# Double Integral with base e

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