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This book on Elementary Integral Calculus has been specially written to meet the requirements of the B.A. and B.Sc. students of all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proofs of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and fairly large number of solved examples. Sufficient probelms have also been selected from various universities examination papers.