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  1. Challenging Integrals in Calculus 1-2: Expand Your Problem …

    Jun 11, 2007 · 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 …

  2. Trick to Solving Integrals Involving Tangent and Secant

    Mar 6, 2017 · This little trick is used for some integration problems involving trigonometric functions is probably well-known, but I only learned it yesterday.

  3. Fourth Integral: What is the Answer? • Physics Forums

    Mar 3, 2006 · Evaluating a fourth-order integral, such as f(x,y,z,t) dx dy dz dt, generally represents a hypervolume in four-dimensional space, extending the concepts of area and volume from …

  4. What is the integral of x*sin(ax)? • Physics Forums

    Nov 29, 2004 · The integral of x*sin(ax) can be solved using integration by parts, where u=x and dv=sin(ax)dx, leading to the formula ∫x*sin(ax)dx = - (1/a)x*cos(ax) + (1/a)∫cos(ax)dx. The …

  5. Calculating the perimeter of a region using integrals

    Feb 5, 2007 · I was wondering,how do we calculate the perimeter of a region using integral calculus?I know that to calculate the area we have to draw the region and if we...

  6. How Does Fubini's Theorem Relate to the Product of Two Integrals?

    Dec 15, 2007 · Product of two integrals... In proving a theorem, my DE textbook uses an unfamiliar approach by stating that the product of two integrals = double integral sign - the …

  7. Some Useful Integrals In Quantum Field Theory - Physics Forums

    Jul 4, 2015 · In my paper on renormalisation I mentioned what most who have studied calculations in Quantum Field Theory find, its rather complicated and mind numbing.

  8. Overlap Integrals: Understand & Learn from a Source

    Nov 19, 2019 · Hi I study optics and many times i found a term called (Overlap integral ) as attached pictures .. I can't understand from where these expression comes (mathematically) …

  9. Integrals Explained: What Does t and dt Mean? • Physics Forums

    May 2, 2012 · I've this example of an integral. \\int^{x}_{a} f(t)dt What t and dt means? Is there a relation between t and dt?

  10. Quick question about multiple integrals - Physics Forums

    Sep 19, 2007 · The discussion centers on the splitting of a double integral into the product of two single integrals, specifically under the conditions outlined by Fubini's theorem. It clarifies that …