The name of lectures of integral calculus written by Johann or Jeans Bernoulli (he is called by both names as far as I know) might be " lecciones mathematicæ de calculo integral"; I must mention that, this is not the complete name of book, but a part of the name; as so many editions have come, it is difficult to say the name.
I searched for one day for the english translation, I couldn't even find the english title of his book on integral calculus. I found his books called Opera Omnia, in latin and French, which contains these lectures, but onceagain, I couldn't even find a single english edition. I am really in need of his book, as he was the first to study lebnizian calculus; ofcourse Jackob Bernoulli also studied with Johann Bernoulli.
I want to know nothing but the title of english edition of his calculus lectures and the name of the translator of it, if possible, even the downloadable version of it.
I already have english editon of L'Hopital's book on differential calculus called "Analyse des Infinements Petits" (claimed to be the first textbook on differential calculus) which contains Johann Bernoulli's lectures on differential calculus titled "Lectiones de Calculo Differentials", but it doesn't contain lectures on integral calculus. If possible can anyone also point out some of the oldest books on "integral calculus".
Edit (6/6/17): Google's "Play Books" app has translator, which translates books in most of the languages being offline. This is the optimal solution I have found till now.
There is no English translation of Bernoulli's integral calculus lectures. There is a partial but quite comprehensive translation into German (Die erste Integralrechnung, tr. Kowalewski).
Since Bernoulli's lectures remained unpublished until 1742, the first published book on the integral calculus was Gabriele Manfredi's De constructione aequationum differentialium primi gradus (1707). This work has also never been translated into English or any other language.