WebE ⊂ R is dense in E. Then any uniformly continuous function f : E0 → R can be extended to a continuous function on E. Moreover, the extension is unique and uniformly continuous. Proof: First let us show that a continuous extension of the function f to the set E is unique (assuming it exists). Suppose g,h : E → R are two continuous ... WebOur integral calculator with steps is capable enough to calculate continuous integration. If f(x) is continuous for the interval a and b given the variable x and G(x) is a function in such sense that dG/dx = f(x) for all values of x in (a,b) Let f be continuous on an interval ‘y’. Select a point p in y then the function f(x) is defined as:
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