nˈaʊ, sˈɪns , ðə lˈɪmɪt bᵻkˈʌmɪswˌɛɹ ðə fˈɜːst iːkwˈɔlᵻɾi ɪz fɹʌmðə dˌɛfɪnˈɪʃən ʌvðə dᵻɹˈɪvətˌɪv wɪð ɐ fˈækt ðætðɪ ˈɪntᵻɡɹəl ɪz ˈiːkwəl tə zˈiəɹoʊ æt ˈiːkwəlz zˈiəɹoʊ, ænd ðə sˈɛkənd iːkwˈɔlᵻɾi ɪz fɹʌmðə fˈɜːst fˌʌndəmˈɛntəl θˈiəɹəm ʌv kˈælkjʊləs.
Now, since , the limit becomeswhere the first equality is from the definition of the derivative with a fact that the integral is equal to 0 at  = 0, and the second equality is from the first fundamental theorem of calculus.