   Chapter 4.2, Problem 61E

Chapter
Section
Textbook Problem

# Use Property 8 of integrals to estimate the value of the integral. ∫ π / 4 π / 2 tan x   d x

To determine

To estimate:

The value of the given integral

π4π3tanxdx

Explanation

1) Concept:

Use comparison property 8  of the integral.

If mfxM for axb, then mb-aabfxdxMb-a

2) Given:

π4π3tanxdx

3) Calculation:

Here fx=tanx,  a=π4,   b=π3

fx is an increasing function on π4, π3

So, its minimum on π4, π3 is

m=fπ4=tanπ4=1

Its maximum on

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