Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2009-04-11 14:55:45

Identity
Member
Registered: 2007-04-18
Posts: 934

u-substitution question

When solving

,

If I let

, then the limits of integration become
and
. Why? dunno

Offline

#2 2009-04-11 15:25:27

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: u-substitution question

Because the area of sint cost between 0 and pi is 0 (sint cost = 1/2 sin2t)

Offline

#3 2009-04-11 22:38:59

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: u-substitution question

Offline

#4 2009-04-11 23:58:12

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: u-substitution question

JaneFairfax wrote:

Do you mean because

which becomes
after the substitution?

Offline

#5 2009-04-12 01:56:25

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: u-substitution question

Precisely.

Offline

#6 2009-04-12 03:16:08

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: u-substitution question

Thanks both of you smile

Offline

Board footer

Powered by FluxBB