Consider the Riemann integral I = - [V* cos(x) dx. Define a partition P of the...

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Consider the Riemann integral I = - [V*² cos(x²) dx. Define a partition P of the interval 0 ≤ x ≤ √√/2 into subintervals with endpoints Xo = 0, x1 = 6 x2 = 70 3 x3 = LEIN (a) How do you know that the Riemann integral I is well-defined? (b) Write down the Riemann sum L for I that uses the partition P and evaluates the integrand at the left endpoints of the subintervals. (You don't need to simplify your expression for L.) (c) Write down the Riemann sum R for I that uses the partition P and evaluates the integrand at the right endpoints of the subintervals. (You don't need to simplify your expression for R.) (d) Give upper and lower bounds for I in terms of L and R. Explain your answer briefly. Consider the Riemann integral I = - [V*² cos(x²) dx. Define a partition P of the interval 0 ≤ x ≤ √√/2 into subintervals with endpoints Xo = 0, x1 = 6 x2 = 70 3 x3 = LEIN (a) How do you know that the Riemann integral I is well-defined? (b) Write down the Riemann sum L for I that uses the partition P and evaluates the integrand at the left endpoints of the subintervals. (You don't need to simplify your expression for L.) (c) Write down the Riemann sum R for I that uses the partition P and evaluates the integrand at the right endpoints of the subintervals. (You don't need to simplify your expression for R.) (d) Give upper and lower bounds for I in terms of L and R. Explain your answer briefly.

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a The Riemann integral I 2 cosx da is welldefined becau... View the full answer