Find the limit of definite integral ∫_1^3 (16-x2), when P is the partition of [1, 3] into n equal subintervals.   Determine expressions for L(P,f) and U(P,f).  Find their values for n = 4 and n = 40, and take the limit of L(P,f) and U(P,f) as n goes to infinity

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Chapter2: Second-order Linear Odes
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Find the limit of definite integral ∫_1^3 (16-x2), when P is the partition of [1, 3] into n equal subintervals.
 
Determine expressions for L(P,f) and U(P,f).  Find their values for n = 4 and n = 40, and take the limit of L(P,f) and U(P,f) as n goes to infinity
 
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