The indefinite integral

1. Find the signed area under the curve � = √� + cos � from � = �
   2
   to � = �.
   Math 2212 Online Quiz 1 Fall 2019 Professor Pruvenok
   Page 2 of 3
2. Evaluate the indefinite integral ∫ cos �
   1+sin�
   ��.
3. Find the area in Quadrant I between the line � = � and the parabola � = �2.
   Math 2212 Online Quiz 1 Fall 2019 Professor Pruvenok
   Page 3 of 3
4. Find the volume of the solid of revolution formed when the curve � = �� from � = 0 to � = 1
   is revolved about the �-axis.
5. Find the volume of the solid of revolution formed when the 1st Quadrant region between the
   line � = � and the curve � = �3 is revolved about the �-axis.

Sample Solution