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Calculus/Mathematics for Pharmacy (PHMA 101)

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Expert: Alon Mandes - 3/16/2009


Question
HOW DO WE INTERGRATE BY SUBSTITUTION? CAN I PLEASE HAVE A FEW EXAMPLES EXPLAINING HOW WE DO THAT

Answer
This method is very useful specially when the integrand contains
powers. For example :

1
∫(x+1)^5 dx = ?
0

We substitute u=x+1 , that gives us du=dx, then the integral
becomes :

2
∫u^5 du = [(1/6)*u^6] --> form 1 to 2 = (1/6)[2^6-2]= 10.33
1

Note that the limits of the integral had changed :
when x=0 -> u=0+1=1
when x=1 -> u=1+1=2

Alon.

Calculus

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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".

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

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

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