Evaluating a Definite Integral as a Limit In Exercises 3-8, evaluate the definite integral by the...

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Evaluating a Definite Integral as a Limit In Exercises 3-8, evaluate the definite integral by the limit definition. · [8 L. f (x² + 1) dx 3. 5. 7. 8 dx x³ dx 9. lim |A|-01 10. lim ||A||-0 =1 n 11. limc + 4 Ax; |||A||-0 =1 12. lim 21 (3c, + 10) Ax; 6c (4- c;)² Ax; ||A||-01 Writing a Limit as a Definite Integral In Exercises 9-12, write the limit as a definite integral on the interval [a, b], where c, is any point in the ith subinterval. Limit 3 4. Axi 6. 8. L₂x S4 S₂ x dx [0, 4] [0, 3] 4x² dx [1,3] (2x² + 3) dx Interval [-1,5] Writing a Definite Integral In Exercises 13-22, set up a definite integral that yields the area of the region. (Do not evaluate the integral.) 13. f(x) = 5 14. f(x) = 6 3x Evaluating a Definite Integral as a Limit In Exercises 3-8, evaluate the definite integral by the limit definition. · [8 L. f (x² + 1) dx 3. 5. 7. 8 dx x³ dx 9. lim |A|-01 10. lim ||A||-0 =1 n 11. limc + 4 Ax; |||A||-0 =1 12. lim 21 (3c, + 10) Ax; 6c (4- c;)² Ax; ||A||-01 Writing a Limit as a Definite Integral In Exercises 9-12, write the limit as a definite integral on the interval [a, b], where c, is any point in the ith subinterval. Limit 3 4. Axi 6. 8. L₂x S4 S₂ x dx [0, 4] [0, 3] 4x² dx [1,3] (2x² + 3) dx Interval [-1,5] Writing a Definite Integral In Exercises 13-22, set up a definite integral that yields the area of the region. (Do not evaluate the integral.) 13. f(x) = 5 14. f(x) = 6 3x