Homework Statement
This seems like a fairly simple problem, it is practically an algebraic problem.
I'm supposed to show that dV1/dV3 = c32/c31
V1 = constant = 1, V2 = 0
In a similar problem, it was solved by substituting V3=0 to get Q as a function of V1.
Homework Equations
Q1 = c11*V1 +...
Hi,
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You could be right, it's cool though ;).
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Oh, I see. I partly understand but I'm still a bit confused, isn't the sum of the integrals of 1/x2 and -exp(-x^3)/x2 not the same as the integral of (1-exp(-x^3))/x2 ? Which means I should be able to calculate them separately and add them up?
Thanks!
I thought it would be good to be far off since if the approximation (the far off function) is supposed to be less then ε, then the original integral should be much less then ε, right?
Good suggestion, didn't think of it... remember though that the original function, f(x) is (1 - exp(-x^3))/x^2...
f(x) is the whole thing in the first integral and the rest is integration by parts.
The primitive function of x^-2 is -x^-1 then I use integration by parts on exp(-x^3)*x^-2 by letting h(x) = exp(-x^3) and g'(x) = x^-2 which gives h(x)g(x) - ∫h'(x)g(x)dx.
h(x)g(x)*(-x^-1) is the term that I...
Hi,
I have an integral from 0 to ∞ and divided into two integrals, one from 0 to C and one from C to ∞.
I'm trying to simplify the second integral so that I can solve for C to make the integral less than ε.
\int\frac{1-e^{-x^{3}}}{x^{2}} = -xf(x) + \int 3xe^{-x^{3}} < \int 3xe^{-x} =...
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Hello,
I'm currently studying engineering in electronics (undergrad). A programme that has a lot of courses in physics and math. Soon I will have to choose a path (master) and recently I've been thinking more and more about choosing a master in mathematics. I like mathematic theory, fascinating...