6_2_Homework - Riemann Sums Summation Notation Definite Integrals Homework 6.2 Problems 1 \u2013 2 Use the graph of the function to write the definite

# 6_2_Homework - Riemann Sums Summation Notation Definite...

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6.2 Riemann Sums, Summation Notation & Definite Integrals Homework Problems 1 – 2, Use the graph of the function to write the definite integral as a limit. Problems 3 - 6, Write the area of each region bounded by the graph of each function and the x-axis on ,as a limit expression of the Riemann Sum. Then, compute the area under the graph.3. ݕ=ʹݔ+ 1on [1, 5]4. ݂ݔ= 2ݔon [0, 2]5. ݃ݔ=ݔon [0, 1]6. ݄ݔ= 6െ ݔon [0, 2]
Problems 7 – 10, Write the area represented by the limit as a definite integral. Use your calculator to evaluate each definite integral. .lim௡՜ஶ3݊௞ୀଵ2 +͵݇݊.lim௡՜ஶ3݊௞ୀଵ݁ଷ௞.lim௡՜ஶߨʹ݊௞ୀଵcosߨ݇ʹ݊૚૙.lim௡՜ஶ3݊௞ୀଵln͵݇݊+ 2 Problems 11 – 14, Express the area under the graph as a limit using summation notation. Do not evaluate. 11. ݕ=ʹݔ+ 1over [0, 4]12. ݂ݔover [1, 6]13. ݃ݔ= 2 sinݔover [0,ߨ]14. ݄ݔ= 3ݔ+ 1over [0, 4] =