English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

Use a geometric argument to compute ∫ 1(top) & -2(bottom) f(t) dt where f(t)= |t|

2007-11-12 15:47:26 · 2 answers · asked by bradm_127 1 in Science & Mathematics Mathematics

2 answers

f(t)=|t| is given by f(t)=t for t>=0 and f(t)= -t for t<0. so
∫^1_(-2)f(t)dt
=∫^0_(-2)f(t)dt+∫^1_0f(t)dt
=∫^0_(-2)(-t)dt+∫^1_0tdt
i don't really know what is meant by a "geometric argument" here, but these integrals just compute the area of two triangles, and then you take the sum of these areas to get the value of the original integral. the result is 2+1/2=2.5

2007-11-12 16:15:38 · answer #1 · answered by lkjh 3 · 0 0

Whose on top whose on bottom, whose on first?

2007-11-13 00:01:23 · answer #2 · answered by cattbarf 7 · 0 1

fedest.com, questions and answers