# Calculus

Choose the correct answer:

9. ∫ (1/x)[ln (x)]^4 dx =

(1/5)ln |ln x| + C

(1/5)(ln x)^5 + C

5(ln x)^5 + C

- 1/(ln x)^5 + C

none of these

10. Acme estimates marginal revenue on a product to be 200q-1/3 dollars per unit when the level of production is q units. The corresponding marginal cost is 2q dollars per unit. Suppose the profit is $250 when the level of production is 1 unit. What is Acme's profit when 8 units are produced?

(Note: P'(t) = R'(t) - C'(t) and P(0) = 0)

$937

$987

$1037

$1087

$1137

$1187

$1237

none of these

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#### Solution Preview

9. ∫ (1/x)[ln (x)]^4 dx =

(1/5)ln |ln x| + C

(1/5)(ln x)^5 + C

5(ln x)^5 + C

- 1/(ln x)^5 + C

none of these

The correct answer is

(1/5)(ln x)^5 + C

It is ...

#### Solution Summary

This shows an example of integration and an example of working with the profit function.