fundamental theorem of calculus

listen to the pronunciation of fundamental theorem of calculus
الإنجليزية - الإنجليزية
Basic principle of calculus. It relates the derivative to the integral and provides the principal method for evaluating definite integrals (see differential calculus; integral calculus). In brief, it states that any function that is continuous (see continuity) over an interval has an antiderivative (a function whose rate of change, or derivative, equals the function) on that interval. Further, the definite integral of such a function over an interval a x b is the difference F(b) -F(a), where F is an antiderivative of the function. This particularly elegant theorem shows the inverse function relationship of the derivative and the integral and serves as the backbone of the physical sciences. It was articulated independently by Isaac Newton and Gottfried Wilhelm Leibniz
fundamental theorem of calculus

    الواصلة

    fun·da·men·tal the·o·rem of cal·cu·lus

    التركية النطق

    fʌndımentıl thîrım ıv kälkyılıs

    النطق

    /ˌfəndəˈmentəl ˈᴛʜərəm əv ˈkalkyələs/ /ˌfʌndəˈmɛntəl ˈθɪrəm əv ˈkælkjələs/
المفضلات