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IntegralsIntegrals "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20060407 01:05:19
Re: IntegralsStandard Integrals of elementary functions Character is who you are when no one is looking. #3 20060407 01:56:35
Re: IntegralsDerivative of indefinite integral, integral of derivative Character is who you are when no one is looking. #4 20060410 02:57:46
Re: IntegralsIsn't the integeral of 1/x dx supposed to contain absolute value symbols? ln x? A logarithm is just a misspelled algorithm. #5 20060419 11:50:00
Re: IntegralsParallel to Post 3, we have Rule in Leibniz's notations X'(yXβ)=0 #6 20060422 16:17:42
Re: IntegralsSome important integrals Character is who you are when no one is looking. #7 20060422 16:37:17
Re: IntegralsImportant forms of Integrals Character is who you are when no one is looking. #8 20060422 17:28:05
Re: IntegralsIntegrals of Logarithmic functions where Character is who you are when no one is looking. #9 20060422 17:37:40
Re: IntegralsIntegrals of Inverse Trignometric Functions Character is who you are when no one is looking. #10 20060422 17:44:03
Re: Integrals"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20060427 00:14:18
Re: IntegralsDefinite Integrals Properties of Definite Integral If then If then If f(x) is an even function, that is f(x)=f(x), then If f(x) is an odd function, that is f(x)=f(x), then Character is who you are when no one is looking. #12 20060427 01:17:34
Re: IntegralsArea under curves Similarly, the area bounded by the curve x=f(y), y=c, y=d and the ordiante (yaxis) is Area between two curves The area of the region bounded by the curves y=f(x) and y=g(x) and the lines x=a and x=b where f and g are continuous functions and f(x)≥g(x) for all x in [a,b] is Character is who you are when no one is looking. #13 20060502 02:10:16
Re: IntegralsPartial fractions where cannot be factored further. Character is who you are when no one is looking. #14 20060503 02:03:02
Re: IntegralsExample for using partial fraction method in Integration The integrand can be rewritten as or Let By solving for A and B, we get A=5, B=10. Therefore, Character is who you are when no one is looking. #15 20060506 22:41:52
Re: IntegralsIntegrals of Hyperbolic functions Integrals of Inverse Hyperbolic Functions Character is who you are when no one is looking. #16 20060507 16:33:14
Re: IntegralsBernoulli's formula for integration Example Character is who you are when no one is looking. #17 20060507 23:16:59
Re: IntegralsIntegrals of functions of the from x²±a² Character is who you are when no one is looking. #18 20060806 17:10:39
Re: IntegralsArc Length If the curve is represented parametrically by x = f(t) and y = g(t), then the length of the curve from t = a to t = b is given by In polar coordinates with r = f(θ), the length of the curve from θ = α to θ = β is given by Volumes of Revolution Disk method: Washer method: Shell method: Iterated Integrals If the double integral of f(x, y) over a region R bounded by f_{1}(x) ≤ y ≤ f_{2}(x), a ≤ x ≤ b exists, then we may write This may be extended to triple integrals and beyond. Transformations of Multiple Integrals If (u, v) are the curvilinear coordinates of a point related to Cartesian coordinates by the transformation equations x = f(u, v), y = g(u, v) which map the region R to R' and G(u, v) = F(f(u, v), g(u, v)) then This may be extended to triple integrals and beyond. Note: See the section on Jacobians in the Partial Differentiation Formulas thread if you do not understand the notation used in "Transformations of Multiple Integrals": http://www.mathsisfun.com/forum/viewtop … 823#p33823 #19 20140313 01:09:58
Re: Integralsintegral of cot(x)= cosec^2(x)+c but integral of cot(x)=log(sin(x))+c why do we have two results for the integration of the same function? @ganesh "The man was just too bored so he invented maths for fun" some wise guy #20 20140313 20:54:38
Re: Integrals
?? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #22 20140313 23:33:42
Re: IntegralsLet then As far as I can see this is not the same as cot(x). ??? Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #24 20140313 23:45:28
Re: IntegralsI agree with you but
so he was integrating not differentiating. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei 