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Integration Problem involving absolute bracket, sine,cosine

  • Thread starter appplejack
  • Start date
  • #1
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Homework Statement


Evaluate

∫(1)to(-1) l sin(x) l dx


Homework Equations





The Attempt at a Solution



If I just leave it like this, is it wrong?

1. ∫(1)to(-1) l sin(x) l dx = l -cos (x)l

2. l -cos (1) l — l -cos (-1)l = 0 - 0 = 0
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Way wrong. Split the integral up into regions where sin(x) has a definite sign. Work the integral out on each of those regions. Then add them up. You'll get a very different answer.
 
Last edited:

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