What is the antiderivative ofx+7x? Antideriative: Antiderivative of a function is obtained by integrating that function. 1. Simplify the function . 2. Integrate the function. 3. Use "C" as constant of integration. Answer and Explanation:1 ...
Having an antiderivative {eq}F(y) {/eq} any other function of the form {eq}F(y) + C {/eq} where C is a constant will also be an antiderivative as it also satisfies {eq}(F(y) + C)' = f(y) {/eq}. C is called a constant of integration. That ...
The integration of a function can be definite or indefinite. The definite integral gives a fixed value whereas the indefinite integral is the antiderivative of the function. The function such as xn can be integrated with the help of power rule as written below: ...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.
Inverse variation states when one variable increases then the other variable decreases. If x and y are two variables, then the inverse variation relationship is given by xy = k, where k is constant. Learn more with examples at BYJU'S.
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The value of log e is equal to 0.4342944819. Log e is a constant term that gives the value of the logarithmic function log x, when the value of x is equal to e.
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative; The integral of x^2 is \frac{x^3}{3} plus a constant. Integral The fluent of a given fluxion in ...
even without knowing any explicit antiderivative of . There are many forms and variants of Cauchy’s theorem. To give one such version, we need the basic topological notion of ahomotopy: Definition 1 (Homotopy)Let be an open subset of ...
The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}. (mathematics) The integral of x^2 is \frac{x^3}{3} plus a constant. Synonyms * (limit of sums) definite integral * (antiderivative) antiderivative, indefinite integral, Antonyms * (antiderivative) derivative Derived term...