# Need help figuring Definite Integral Formulas

I took a scan but it isit really clear what the forumlas are, could someone help me fill up the upper & lower bound?

UPDATE

3 has an error ...

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The third item has no solution. – Did Nov 7 '11 at 8:06

Denoting lower bound by l.b. and upper bound by u.b.:

1) l.b.= b ; u.b.= a

2) l.b.= a ; u.b.= b

3) l.b.= b ; u.b.= a

4) l.b.= a ; u.b.= b

5) l.b.= -a; u.b.= a

6) l.b.= -a; u.b.= a

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If the second integral in 3) is $\int_c^b f(x)\,dx$, I am a bit puzzled. – André Nicolas Nov 7 '11 at 6:46
You are absolutely right. I don't know what I was thinking. – Rankeya Nov 7 '11 at 7:25
Actually, can someone edit 3) with hypothesis that the lower bound of the second term in LHS is c? I can't think of what the limits should be. This is a little embarrassing. – Rankeya Nov 7 '11 at 7:39
Oh I looked at the book errata and 3 has an error ... it should be upper bound of 3 term shld be b instead of c i.imgur.com/GwK6r.png – Jiew Meng Nov 7 '11 at 9:29