Answer
0
Work Step by Step
We know that tan(-x)= -tan x.
That is, tan x is an odd function. Also, there is symmetry in the interval.
So we use theorem 5.4 to get
$\int^{\frac{\pi}{4}}_{\frac{-\pi}{4}}tanxdx= 0$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 5 - Integration - 5.4 Working with Integrals - 5.4 Exercises - Page 382: 42
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