Integral Calculus is a comprehensive theory cum practice book and covers all aspects of the topic. It helps sharpen the problem solving skills in Calculus through Solved and Unsolved Problems. The solutions to the problems are supported by time saving strategies along with tips to avoid mistakes while applying the laws of Calculus.

Table of Contents:
Table of Contents 1. Indefinite Integration Introduction Elementary Integrals Integration by Transformation Integration by Substitution Integrals Involving Sine and Cosine Rationalization by Trigonometric Substitution Integrals of the Form Integration of Trigonometric Functions Integration by Parts Special Integrals Multiple Integration by Parts Integration by Reduction Formulae Integration of Rational Functions Using Partial Fractions Integration of Irrational Functions Integrals of the Type Integration of a Binomial Differential Euler's Substitution Method of Undetermined Coefficients Non-elementary Integrals Target Problems Things to Remember Exercises Answers 2. Definite Integration Introduction Definite Integral as a Limit of Sum Rules of Definite Integration First Fundamental Theorem of Calculus Second Fundamental Theorem of Calculus Integrability Improper Integral Substitution in Definite Integrals Integration by parts for Definite Integrals Reduction Formula Evaluation of Limit of sum using Newton-Leibnitz Formula Leibnitz Rule for Differentiation of Integrals Properties of Definite Integral Additional Properties Estimation of Definite Integrals Determination of Function Wallis' Formula Limit under the sign of Integral Differentiation under the sign of Integral Integration of Infinite series Approximation of Definite Integrals Target Problems Things to Remember Exercises Answers 3. Area under the Curve Curve Sketching Area of a Curvilinear Trapezoid Area Bounded by a Function which Changes Sign Area of a Region Between two Non-intersecting Graphs Area of a Region Between two intersecting Graphs Area by Horizontal Strips Area of a Region Between Several Graphs Determination of Parameters Shifting of Origin Area Bounded by a Closed Curve Area of Curves given by Parametric Equations Area of Curves given by Polar Equations Area of Regions given by Inequalities Target Problems Things to Remember Exercises Answers 4. Differential Equations Introduction Formation of a Differential Equation Solution of a Differential Equation First Order and First Degree Differential Equations Reducible to Variable Separable Homogeneous Differential Equations Linear Differential Equations Solution by Inspection First Order Higher Degree Differential Equation Higher Order Differential Equation Integral Equation Problems in Trajectories Applications of Differential Equation Target Problems Things to Remember Exercises Answers