21. It is one of the two traditional divisions of calculus, the other being integral calculus . 22. Partial fractions are used in real-variable integral calculus to find real-valued antiderivatives of rational functions. 23. Following in the same year, he was also appointed professor of differential and integral calculus . 24. Cavalieri's principle in geometry partially anticipated integral calculus . 25. The next significant advances in integral calculus did not begin to appear until the 17th century. 26. In 1900 he published " A Course on Applications of Differential and Integral Calculus to Geometry ". 27. Weighted averages of functions play an important role in the systems of weighted differential and integral calculus . 28. An "'Integration Bee "'is an annual integral calculus competition pioneered in 1981 by the Massachusetts Institute of Technology. 29. Volumes of a complicated shape can be calculated by integral calculus if a formula exists for the shape's boundary. 30. At any rate, the use of infinitesimals was widespread during the formative stages of the Differential and Integral Calculus .