a) Evaluate lim (2/6/7 sint dt). -1/6 /6. Hint: You may use the Fundamental Theorem of...

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a) Evaluate lim (2²/6/7 sint dt). -1/6 π/6. Hint: You may use the Fundamental Theorem of Calculus Part 1. [4] b) Evaluate the following integral as a limit of a Riemann Sum. (Do not evaluate the integral directly by means of an anti-derivative, no mark is given for that.) [₁² (2³-32²) dz. [8] c) Evaluate the limit by first recognizing the sum as a Riemann sum for a func- tion defined on the interval [1, 2]. a) Evaluate lim (2²/6/7 sint dt). -1/6 π/6. Hint: You may use the Fundamental Theorem of Calculus Part 1. [4] b) Evaluate the following integral as a limit of a Riemann Sum. (Do not evaluate the integral directly by means of an anti-derivative, no mark is given for that.) [₁² (2³-32²) dz. [8] c) Evaluate the limit by first recognizing the sum as a Riemann sum for a func- tion defined on the interval [1, 2].