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Consider the integral $\int_{1}^{3} \int_{-1}^{1}\left(2 y^{2}+x y\right) d y d x .$ State the variable of integration in the first (inner) integral and the limits ...

Question

Consider the integral $\int_{1}^{3} \int_{-1}^{1}\left(2 y^{2}+x y\right) d y d x .$ State the variable of integration in the first (inner) integral and the limits of integration. State the variable of integration in the second (outer) integral and the limits of integration.

Consider the integral $\int_{1}^{3} \int_{-1}^{1}\left(2 y^{2}+x y\right) d y d x .$ State the variable of integration in the first (inner) integral and the limits of integration. State the variable of integration in the second (outer) integral and the limits of integration.



Answers

Evaluate the integrals. Some integrals do not require integration by parts.
$$
\int\left(1+2 x^{2}\right) e^{x^{2}} d x
$$


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