Math 152 WI10 Exam 1 Review

# Math 152 WI10 Exam 1 Review - MSLC Math 152 Exam 1 Review 1...

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MSLC – Math 152 Exam 1 Review 1) Verify the following integrals give the indicated result. a. 2 2 10 5 10 dx x C xx =− + b. 22 ee −− −+ = + c. 2 2 ln 1 ln 1 1 =+ + d. 2 21 (1 ) 1 = + ++ 2) Consider the function 2 2 . Use geometry to compute the value of 2 2 0 2 xdx . 3) a) Express the following sum in the form 1 n i a = . 333 3 55 1 05 1 5 5 2 1 2 1 2 1 nn ⎡⎤ ⎛⎞ ⎛ ⎛⎞ + + + + + + + + + + ⎢⎥ ⎜⎟ ⎜ ⎜⎟ ⎝⎠ ⎝ ⎝⎠ ⎣⎦ " b) The above is a right Riemann Sum for the definite integral () 2 b fxdx . Find and f(x) . c) Find the value of the above sum as →∞ . d) The above sum can also be a right Riemann Sum for the definite integral 0 . Find the new function and bounds and compute the value of the sum as . 4) Express the definite integral 3 2 1 as a right Riemann Sum and compute the sum using sigma

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Math 152 WI10 Exam 1 Review - MSLC Math 152 Exam 1 Review 1...

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