Integration techniques and methods
Today, I had the opportunity to tutor a graduating senior in advance calculus. Many high school seniors get lost in calculus because of the lack of understanding the usage of the proper techniques of integration. Methods of substitution integration by parts were introduced, followed by trigonometry substitution and partial fraction integration as the last portion. Definite integrals and improper integrals were also introduced. Knowing the right method enables students to save a lot of time in simplifying the solutions. Natural logs were also introduced with half angle formulas. All in all, calculus gets so much easier if the basic concepts are understood and applied accordingly.