1. Please show the steps and the u-substitution and show all steps

332sin(t)1+cos(t)dt

2. Please show the steps and the u-substitution and show all steps thank you

12xx1dx

I know for this one that the u is the x-1 and the du= -1dx

please show the steps don't miss a step thank you

3. Find the volume of the shape generated by the region bounded above by f(x)= -x+1, below by y=1 from [-2,0] on the x-axis about the line x=2. Please show all the calculus-based steps and provide a stetch/ graph of the region, the shape generated, and a representative slice/ shell for the calculations. Either method can be used (cylindrical shell, Washer, or disk method)