Let F(x) be an antiderivative of (ln x)^3/x. If F(1) = 0, then F(9) =

a. .048

b. .144

c. 5.827

d. 23. 308

e. 1,640.250

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- Mar 18th 2006, 01:05 PMfrozenflamesAntiderivative question
Let F(x) be an antiderivative of (ln x)^3/x. If F(1) = 0, then F(9) =

a. .048

b. .144

c. 5.827

d. 23. 308

e. 1,640.250 - Mar 18th 2006, 04:43 PMThePerfectHackerQuote:

Originally Posted by**frozenflames**

.

Let

then

Express the integral as,

Thus, we have after substitution,

Thus, substituting back,

But

Thus,

Evaluate, the left part which gives,

Thus,

Thus,

Thus,