1.

Estimate the integral int_(0)^(1) sqrt(1 + x^(4)) dx using (a) themean-valuetheoremfor a definite integral, (b) the result of the preceding problem, (c) the inequalitysqrt(1 + x^(4)) lt 1 + (x^(4))/(2) (d)the Schwarz-Bunyakovaskyinequality(see Problem 6.3.6)

Answer»


ANSWER :(a) `1.414`
(B) 1.207
(C)1 . 1
(d)1 . 095


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