Use the symmetry properties of the integrands to evaluate the following integrals in the simplest ways. √² √² t² tan(t) dt I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hello. I wanted to make sure I am on the write track with this problem. The t^2 should become odd and cos becomes odd? How would you go about this problem? 

Thank you for the help and your time. 

 

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Use the symmetry properties of the integrands to evaluate the following
integrals in the simplest ways.
t² tan(t) dt
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Transcribed Image Text:Untitled document - Google Docs X ← → с ✰ https://docs.google.com/document/d/1kBg0GQ6JxWly68MgSGaPYKg0gmnwf6rA8i4xpmy_9Ho/edit Search the menus (Alt+/) + Type here to search 1000| √2 1 0.1* 100% Normal text Arial 2 | 13| Use the symmetry properties of the integrands to evaluate the following integrals in the simplest ways. t² tan(t) dt | 11 + B I U A 4 CO 5617| 77% → 69°F 2 E- im ID 901 n 11:29 AM 10/9/2022 X :
Expert Solution
Step 1

Properties of integration 

-aaf(t) dt=0 f(t) is odd function20af(t)dtf(t) is even function

The function f is odd if f(-x)=-f(x).

The function f is even if f(-x)=f(x).

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