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The slope field of () = +, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant c.. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral [Note 1] of a function f is a differentiable function F whose derivative is equal to the original function f.
Nonelementary integral. In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function (i.e. a function constructed from a finite number of quotients of constant, algebraic, exponential, trigonometric, and logarithmic functions using field ...
The following is a list of indefinite integrals ( antiderivatives) of expressions involving the inverse trigonometric functions. For a complete list of integral formulas, see lists of integrals . The inverse trigonometric functions are also known as the "arc functions". C is used for the arbitrary constant of integration that can only be ...
(Note that the value of the expression is independent of the value of n, which is why it does not appear in the integral.) ∫ x x ⋅ ⋅ x ⏟ m d x = ∑ n = 0 m ( − 1 ) n ( n + 1 ) n − 1 n !
The M142 High Mobility Artillery Rocket System (HIMARS, / ˈ h aɪ m ɑːr z /) is a light multiple rocket launcher developed in the late 1990s for the United States Army and mounted on a standard U.S. Army Family of Medium Tactical Vehicles (FMTV) M1140 truck frame.
The "Magnificent Seven" is a term used to collectively describe the world's largest tech companies -- and unsurprisingly, all of them are disrupting AI in some form. Perhaps the most intriguing ...
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The two iterated integrals are therefore equal. On the other hand, since f xy (x,y) is continuous, the second iterated integral can be performed by first integrating over x and then afterwards over y. But then the iterated integral of f yx − f xy on [a,b] × [c,d] must vanish.