Integrals of Some Simple Rational Functions x^m/(ax+b)^n

0:00 Video starts. 0:31 Some basic integral formulas mainly used in this video. 1:30 Problem (a) ∫ x/(7x+8) dx. 2:48 Problem (b) ∫ x/(5x-6)^2 dx. 4:42 Problem (c) ∫ x^2/(3x-4) dx. 9:18 Problem (d) ∫ x^2/(2x+1)^2 dx. 11:46 Problem (e) ∫ 1/(x(12x-11)) dx. 14:42 Problem (f) ∫ 1/((x^2)(9x+10)) dx. A video featuring six good problems on integrating simple rational functions! Notice how the integrand differs from problem to problem and how I deal with each problem type. #Integral #RationalFunctions #calculus #IndefiniteIntegrals #IntegralFormulas #PartialFraction --------------------------------------------------------------------------------- CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problem-solving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself. Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!