   Chapter 4.3, Problem 36E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 1 18 3 z   d z

To determine

To evaluate:

1183z dz

Explanation

1) Concept:

i) The Fundamental Theorem of Calculus(part 2)

The Fundamental Theorem of Calculus: Suppose  f is continuous on [a, b], then

abfxdx=Fb-F(a), where F is antiderivative of  f, that is F'=f.

ii) Separate out the integration and then use antiderivative of each term

2) Calculation:

1183z dz

By separating the square root sign from the numerator and denominator and taking the inverse

1183zdz=318z-

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