1. Evaluate the following integrals: (a) 18x' sin (9.x?) dx ( b) 1 dr 2 aln'Vr 2. In the first quarter of 2077, a highly-infectious strain of virus emerged from a melting ice cap due to climate change which prompted a global pandemic. Virologists had estimated that, on day t of the pandemic, the number of infection cases is changing at the rate of 2 Vi (e ( vi-1 ) + sin( Vt - 1) + (Vt- 1)#) cases per day. Given that 501 cases have been reported on the first day of the pandemic, determine the number of infection cases on the 100th day of the pandemic. Round your final answer to the nearest whole number. 3. Set up the integral that solves for the area of the shaded region (a) using r as the variable of integration and (b) using y as the variable of integration. X = -y 2 x= 2-> X -2 2