MATH 165 Final: MATH 165 Ball State Final Review

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Review sheet - final: find the sum. Xi=1 i2. ln 3 8ex dx: evaluate r ln 6, evaluate r 3. 7 x(x2 + 1)1/2 dx: evaluate r x cos(x2 + 1) dx, evaluate r 3. Justify your answer: set up the sum to use the midpoint rule with n = 4 to approximate r 3. 1 x2 dx: express the following as a single integral: 5 f (x)dx f (x)dx + z 7 f (x)dx + 3z 7. 16 x2 dx by interpreting the g(x)dx. 0: if f (x) = r, if f (x) = r x. 0 2t 3t2dt, what is the maxi- mum value of f on the interval [0, 1]: find the area under the graph y = x2. 2x: find the area under the graph of y = 2. 1+x2 from x = 0 to x = 3: compute r sin x + 1, evaluate r 4.

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