The attachments are 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 quiz shee

MATH 141 Calculus II Quiz 1 Write your name. Write solutions in details. Box your answers 1. Express the limit as a definite integral over the indicated interval. Do not calculate the value of this integral. where Evaluate the integral. 2. 3. 4. 12 12 2 2 2 0 12 lim ( ) 1 ( ) 1 ( ) 1 n n mesh n c cc t t t c c c              1, 0 [ ], 1, 2, , ; 1, 4. i i i nc t t i n t t      0 4 1 5x dx  2 0 cos xdx   1 17 0 ( 1)x dx  2 Calculate. 5. 6. 7. 8. Assume that f is continuous and Determine . 3 2 1 x dx x    2 1 (3 5 ) dx x   2 31 2 ( 1)x x dx   0 ( ) ( ) sin cos . x F x f t dt x x x        1122 Ff    3 Find the area of a region between the curves. 9. 10. Calculate. 11. (Hint: Set ) 12. 2and y x y x 32and 2 y x y x 1 x x dx   1, 1 u x x u    21x dx  4 13. 14. A helicopter is rising straight up in the air. Its velocity at time t is feet per second. How high does the helicopter rise during the first 5 seconds? 22 2 ( 1) t dt t   ( ) 2 1v t t 