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  • 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 [itex]\int f(x)dx[ itex] has units of "meters squared" or "square meters", an area measure
  • 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
  • Tips For How To Understand Application of Integrals In Physics
    Volume integrals are where the real trouble starts If you know you have to take the integral of something in 3-dimensional space, you could start having problems A lot of problems typically do have you integrate towards infinity which in cartesian is coordinates is pretty easy
  • Integrals Explained: What Does t and dt Mean? - Physics Forums
    Since you are talking about an integral I assume you have some idea of what an integral is, either taking a course in Calculus or are reading a book on Calculus
  • Adding two integrals with different limits of integration - Physics Forums
    Homework Statement Interpret the integrals (from 0 to 4)∫ (3x 4) dx + (from 4 to 5)∫ (sqrt(25-x^2)) dx as areas and use the result to express the sum above as one definite integral Evaluate the new integral Homework Equations The Attempt at a Solution I see that I could





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