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- Challenging Integrals in Calculus 1-2: Expand Your Problem-Solving Skills!
can someone give me some really hard intergrals to solve? make sure they are in the range of calculus 1-2 (anything before multivariable) My teacher assigned some few hard integrals, and they are fun I want to try moer thanks
- Fourth Integral: What is the Answer? - Physics Forums
Double and triple integrals do not necessarily represent areas and volumes, you can compute both area and volume (in some special cases) with a single integral! In your analogy though, an n-dimensional integral generally represents and n-dimensional volume, of which 2 is area and 3 our 'classic' volume From 4 on, I believe the term 'hypervolume' is used, cfr hypercube, hypersphere etc Of
- Swapping Integrals and Sums: When is it Justifiable?
Often in physics we encounter cases in which swapping the order of the integral and sum is invalid, but the result is an asymptotic series rather than absolute nonsense Does anyone know under what conditions swapping integrals and sums gives a legitimate asymptotic series?
- Creating Big Integrals in LaTeX: Tips and Tricks - Physics Forums
I search google and different math sites but came with not answer for making an integral big How do I do it please? ##\\int## is too small sometimes
- What are the units of a definite integral and its derivative?
That is why we typically introduce integrals in terms of "area under the curve"- if x has units of, say meters, and y= f (x) has units of meters also, then the integral \int f (x)dx has units of "meters squared" or "square meters", an area measure
- Why Dont We Use the Jacobian in Surface Integrals?
Yes, but of course that's not a "surface integral"- that's changing from one three-dimensional coordinate system to another You might, after forming the integral over a surface, decide that the integral would be simpler if you chose different coordinates, that is a different parameterization, for the surface Then you would use the Jacobian to change from one two-dimensional coordinate system
- Some Useful Integrals In Quantum Field Theory - Physics Forums
In my paper on renormalisation I mentioned what most who have studied calculations in Quantum Field Theory find, its rather complicated and mind numbing
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