Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:challenging-definite-integrals/v/periodic-definite-integral
2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!
More free lessons at: http://www.khanacademy.org/video?v=CZdziIlYIfI
Continue this lesson in the app
Install CourseHive on Android or iOS to keep learning while you move.