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Integral formulas with proof
Documents contain proof of integral formula from the Thomas' Calculus 
(twelfth Edition, Maurice D,Weir,Joel Hass) . These formulas have wide range applications in engineering mathematics and ,business mathematics . Professionals in the field of computer ,IT and engineering may enjoys these formulas to enhance their professional skills and knowledge.
- Class notes
- • 16 pages •
Documents contain proof of integral formula from the Thomas' Calculus 
(twelfth Edition, Maurice D,Weir,Joel Hass) . These formulas have wide range applications in engineering mathematics and ,business mathematics . Professionals in the field of computer ,IT and engineering may enjoys these formulas to enhance their professional skills and knowledge.
Calculus • Proofs of some important trigonometric functions having wide use in Calculus • Derivative of trigonometric and logarithmic functions. • Anti-derivative (integral) of trigonometric and logarithmic functions
OBJECTIVES OF THE DOCUMENTS Document is written to combine key results in trigonometry ,derivative and ant-derivative(integral) and such co-related concepts and skills as a whole in a single tutorial. It includes: 
• Proofs of some important trigonometric functions having wide use in Calculus 
• Derivative of trigonometric and logarithmic functions. 
• Anti-derivative (integral) of trigonometric and logarithmic functions 
Introduction to some important trigonometric formulas
- Exam (elaborations)
- • 26 pages •
OBJECTIVES OF THE DOCUMENTS Document is written to combine key results in trigonometry ,derivative and ant-derivative(integral) and such co-related concepts and skills as a whole in a single tutorial. It includes: 
• Proofs of some important trigonometric functions having wide use in Calculus 
• Derivative of trigonometric and logarithmic functions. 
• Anti-derivative (integral) of trigonometric and logarithmic functions 
Introduction to some important trigonometric formulas
Cambridge Assessment For examination from 2025 MATHEMATICS 0580/02 Paper 2 Non-calculator (Extended) For examination from 2025 SPECIMEN PAPER 2 hours
Cambridge Assessment 
For examination from 2025 
MATHEMATICS 0580/02 
Paper 2 Non-calculator 
(Extended) For examination from 2025 
SPECIMEN PAPER 2 hours 
The solution contains: 
proof of formulas used in solution 
Figure for each solution to make visual learning
- Exam (elaborations)
- • 40 pages •
Cambridge Assessment 
For examination from 2025 
MATHEMATICS 0580/02 
Paper 2 Non-calculator 
(Extended) For examination from 2025 
SPECIMEN PAPER 2 hours 
The solution contains: 
proof of formulas used in solution 
Figure for each solution to make visual learning
Calculus, Derivative and anti-derivative of logarithmic and trigonometric functions
Documents consists of proof of key formulas to be used in the study of Calculus. It contains: 
(1) Proof of some important limits 
(2) Derivative and integration of important formulas in trigonometric and logarithmic functions 
(3) Linked concepts on derivative and anti-derivative (integral)
- Exam (elaborations)
- • 26 pages •
Documents consists of proof of key formulas to be used in the study of Calculus. It contains: 
(1) Proof of some important limits 
(2) Derivative and integration of important formulas in trigonometric and logarithmic functions 
(3) Linked concepts on derivative and anti-derivative (integral)
calculus, Cambridge, past papers, tenth edition
Calculus 10th edition Ex 2.8 .A complete solution with geometrical figure to explain the concept
- Exam (elaborations)
- • 81 pages •
Calculus 10th edition Ex 2.8 .A complete solution with geometrical figure to explain the concept
Calculus Ex 2,8 Complete Solution
Stepwise solution of Ex 2.8 from Calculus (Anton,Bivens,Davis)with diagram to explain the geometrical properties of the issue concerned.
- Class notes
- • 81 pages •
Stepwise solution of Ex 2.8 from Calculus (Anton,Bivens,Davis)with diagram to explain the geometrical properties of the issue concerned.
Calculus 10TH Edition ANTON Ex 2.8 Q1 to Q47
Calculus 10 TH edition Ex 2.8 . Complete stepwise solutions from Question No 1 to Question No 47 with diagram to explain the geometrical properties. The main topic is: 
DIFFERENTIATING EQUATIONS TO RELATE RATES
- Exam (elaborations)
- • 2 pages •
Calculus 10 TH edition Ex 2.8 . Complete stepwise solutions from Question No 1 to Question No 47 with diagram to explain the geometrical properties. The main topic is: 
DIFFERENTIATING EQUATIONS TO RELATE RATES
Calculus
Calculus 10th Edition Anton. Q41
- Exam (elaborations)
- • 5 pages •
Calculus 10th Edition Anton. Q41
Calculus .Tangent and normal,reduction formula
Derivative and antiderivative (integral) of trigonometric functions ,logarthmic
functions (including natural logarithmic functions), reduction formulas along with detailed proofs of relevant formulas, skills, information and concepts to create in the learner a problem-solving strategy and techniques to solve similar issues.
- Package deal
- • 7 items •
- Cambridge International Mathematics A and AS level • Exam (elaborations)
- Calculus • Exam (elaborations)
- THOMAS’ CALCULUS FOURTEENTH EDITION Pearson • Exam (elaborations)
- Integral formula • Exam (elaborations)
- calculus • Exam (elaborations)
- And more ….
Derivative and antiderivative (integral) of trigonometric functions ,logarthmic
functions (including natural logarithmic functions), reduction formulas along with detailed proofs of relevant formulas, skills, information and concepts to create in the learner a problem-solving strategy and techniques to solve similar issues.
Vector equation approach of linear algebra
Using the vector equation approach of linear algebra, an unbalanced chemical equation has been balanced. 
Vector equation approach is an application of linear algebra to balance 
any unbalanced chemical equation with a simple mathematical technique
- Exam (elaborations)
- • 5 pages •
Using the vector equation approach of linear algebra, an unbalanced chemical equation has been balanced. 
Vector equation approach is an application of linear algebra to balance 
any unbalanced chemical equation with a simple mathematical technique