Divergence Theorem

This is a set of problems with which you can take exercise on multiple integrals and integrals of vector fields. Day 1. The problems for the first day are related to chapter 15. In problem 1-5, evaluate the integrals. \[\int_1^2 \int_{-1}^1 \frac{x}{y^2} \,dx\,dy.\] \[\int_0^{\ln 2} \int_0 ^{\pi/2} e^x\,\cos y \,dy\,dx.\] \[\int_0^2 \int_{y/2}^1 e^{x^2} \,dx\,dy .\] \[\int_0^\pi \int_0^\pi \int_0^\pi \cos(x+y+z) dx\,dy\,dz.\] \[\int_{-1}^1 \int_0^{\sqrt{1-y^2}}\int_0^x (x^2 + …