Challenging Integrals in Calculus 1-2: Expand Your Problem …
Jun 11, 2007 · This discussion focuses on challenging integrals suitable for Calculus 1 and 2, with participants sharing various complex integrals such as \ (\int \frac { (1+x^ {2})dx} { (1-x^ …
What are the units of a definite integral and its derivative?
Nov 13, 2012 · The discussion clarifies that the units of a definite integral and its derivative are determined by the units of the functions involved. For the integral of a function f (x), the units …
Swapping Integrals and Sums: When is it Justifiable?
Feb 25, 2013 · This discussion centers on the conditions under which it is justifiable to interchange integrals and infinite sums, specifically using the Riemann integral. It is …
Integrals Explained: What Does t and dt Mean? - Physics Forums
May 2, 2012 · The discussion clarifies the roles of variables t and dt in the context of integrals, specifically in the expression \ (\int^ {x}_ {a} f (t)dt\). It establishes that t and dt represent the …
Tips For How To Understand Application of Integrals In Physics
Jan 17, 2011 · This discussion focuses on the application of integrals in physics, particularly in understanding how to set up integrals for problems involving charge and kinematics. …
How Does Fubini's Theorem Relate to the Product of Two Integrals?
Dec 15, 2007 · Explore applications of double integrals in multivariable calculus Learn about convergence criteria for double integrals Investigate the manipulation of dummy variables in …
Creating Big Integrals in LaTeX: Tips and Tricks - Physics Forums
Mar 19, 2013 · This discussion focuses on techniques for creating larger integral symbols in LaTeX. Users often encounter issues with the default size of the integral symbol when using …
Understanding Work Integrals: Examples Explained - Physics Forums
Feb 5, 2014 · This discussion focuses on understanding work integrals in physics, specifically how to apply them to different scenarios involving force and distance. Three examples illustrate the …
Calculating the perimeter of a region using integrals
Feb 5, 2007 · The perimeter of a region in the plane can be calculated using integral calculus, specifically through the integral of the differential arc length, ds. The formula for ds is given by …
What Are the Pitfalls of Multiplying and Dividing in Integration?
Jun 9, 2011 · Usually trig integrals need that, but even a simple integral like \int_ {0}^ {1} dx Can go wrong if we multiply and divide by the same thing. Also most of the time we aren't just …