The attachments below are 7 Calculus 2 quizzes they range from 15-10 questions the instructions are : Please extend sufficient space for solutions using the docx version, if you like to work on the qu

MATH 141 Calculus II Quiz 4 Write your name. Write solutions in details. Box your answers If definite improper integrals converge, find their values, otherwise prove that they diverge. 1. 2. 3. Find antiderivatives. 4. 5. 1 0 ln xdx  5 0 x e dx    2 1 dx x    1 x x e dx e   x x dx e 2 6. 7. 8. Which of the following is an improper integral? 9. Which one of the following improper integrals diverges? 10. Let Ω be the region bounded by the coordinate axes, the curve and the line . (a) Show that Ω has finite area and find it. (b) Show that if Ω is revolted about the x-axis, the configuration obtained does not have finite volume. 2 cos sin xdxx  2 14 x dx x   3 2 1 1 2 2 2 0 1 0 0 sin (A) (B) (C) (D) (E) none of these 1 1 cos 1 xdx xdx dx dx x x x x         11 22 3 1 0 0 0 (A) (B) (C) (D) (E) none of these x dx dx dx dx x e x x      1 y x  1 x 3 Evaluate definite integrals. 11. 12. 1 25 0 2 ( 1)x x dx   5 0 4 x dx x 