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Expert: Alon Mandes - 5/22/2010


Question
Evaluate  ∫_2^3▒〖e^√(x-2)/(2√(x-2)) dx〗

Answer
Integral from the form ∫f'(x)*e^[f(x)] dx is always equal e^[f(x)] .
This is true because : If we derive the form : e^[f(x)] , we will get :
d/dx{e^[f(x)]}=f'(x)*e^[f(x)] .
In our case :
f(x)=√(x-2) & f'(x)=2√(x-2) . Thus ,
∫e^[√(x-2)]/[2√(x-2)] dx = e^[√(x-2)] . All we need to do now is to plug the limits :
e^[√(3-2)]-e^[√(2-2)]=e-1 . So the answer is : e-1 .  

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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