Integral Calculus B.A. / B.Sc. First Semester Mathematics Book is an exam-oriented textbook based on the latest National Education Policy (NEP-2020) syllabus. It is specially designed for students of DDU Gorakhpur University and other universities following the updated curriculum.

Published by Kanha Publishing House, this book has been authored by distinguished mathematics faculty members Dr. K.B. Gupta, Dr. Bindu Kumari, Dr. Amit Kumar Ray, and Dr. Arun Kumar Pandey.

The book presents every topic in a clear, systematic, and student-friendly manner. It combines theoretical concepts with solved examples, practice exercises, and chapter-wise Multiple Choice Questions (MCQs), making it suitable for classroom study, self-learning, competitive preparation, and university examinations.

The syllabus includes Bounds, Riemann Integration, Beta and Gamma Functions, Curve Tracing, Convergence of Improper Integrals, Area of Curves, Length of Curves, Volumes of Solids of Revolution, Multiple Integrals, Vector Differentiation, Differential Operators, and Vector Integration. The book also covers important vector calculus theorems such as Gauss’s Divergence Theorem, Green’s Theorem, and Stokes’ Theorem, helping students build a strong foundation in advanced calculus.

Key Features

• Based on the latest NEP-2020 syllabus
• Suitable for B.A. / B.Sc. First Semester Mathematics
• Designed for DDU Gorakhpur University and other universities
• Written by experienced university professors
• Simple and easy-to-understand language
• Comprehensive theory with solved examples
• Chapter-wise exercises and Multiple Choice Questions (MCQs)
• Covers both Integral Calculus and Vector Calculus
• Ideal for semester examinations and concept building
• Published by Kanha Publishing House

Book Details

Book Name: Integral Calculus

Subject: Mathematics

Course: B.A. / B.Sc.

Semester: First Semester

Language: English

Authors:

• Dr. K.B. Gupta
• Dr. Bindu Kumari
• Dr. Amit Kumar Ray
• Dr. Arun Kumar Pandey

Publisher: Kanha Publishing House, Gorakhpur

Binding: Paperback

Curriculum: NEP-2020

University: DDU Gorakhpur University & Other Universities

Topics Covered

• Bounds
• Riemann Integration
• Beta and Gamma Functions
• Curve Tracing
• Convergence of Improper Integrals
• Area of Curves
• Length of Curves
• Volumes of Solids of Revolution
• Multiple Integrals
• Vector Differentiation
• Differential Operators
• Vector Integration
• Gauss’s Divergence Theorem
• Green’s Theorem
• Stokes’ Theorem
• Chapter-wise Exercises
• Multiple Choice Questions (MCQs)