Category: Integral Calculus / IIT JEE MAINS/ADVANCED-FREE STUDY MATERIAL

It contains indefinite integral,definite integral,area,differential calculus concepts and solved example (OBJECTIVE + SUBJECTIVE )at JEE mains/advanced level

1 Indefinite Integral :- Definition, Integral as the anti –derivative, List for standard Results & Loving Forms, Integration by substitution, Integration by parts, Integration by partial fraction, Algebraic integrals Trigonometric integrals, Algebraic Twins, Trigonometric Twins, Successive Reduction Integration Etc.

2 Definite Integral :- Properties of Definite Integrals, Evaluation of Definite Integrals,Evaluation of Limit of an Infinite Sum, Derivative of Integral, Etc.

3 Area :-
Graphs, Standard Methods for Evaluating Areas, Etc.

4 Differential Equations :-
Some Definitions,Formation of Differential Equations, Solution of Differential Equations, Methods to Solve the Differential Equation of First Order and First Degree, Separation of Variables, Homogeneous Differential Equations, Linear Differential Equations, Equations Reducible to Linear Form, Exact Differential Equations and Application…

To understand this problem of differential equation you must know : How we solve variable separable type differential equations

SOLUTION

PROBLEM

To understand this problem of differential equation you must know : How we form differential equations when equations of family of curves are given

SOLUTION

PROBLEM

To understand this problem of differential equation you must know : How we solve variable separable type, exact type differential equations

SOLUTION

PROBLEM

SOLUTION

PROBLEM

SOLUTION

PROBLEM

To understand this problem of differential equation you must know : How we solve linear differential equations

SOLUTION

PROBLEM

SOLUTION

PROBLEM

SOLUTION

PROBLEM

PROBLEM

PROBLEM

SOLUTION

PROBLEM

To understand this problem of differential equation you must know : How we solve variable separable type,linear type, homogeneous type differential equations

SOLUTION

PROBLEM

SOLUTION

PROBLEM

To understand this problem of differential equation you must know : How we solve variable separable type,linear type, homogeneous type differential equations

To understand this problem of area under curve you must know ,The graphs of parabola , basics of hyperbolic type of functions and how we use integral to evaluate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs of parabola , Concept of greatest integer function and how we use integral to evaluate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs of parabola , Concept of exponential functions and how we use integral to calculate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs of circles , Concept of tangent and normal for circle and how we use integral to calculate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs hyperbola , and how we use integral to calculate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs of parabola , and how we use integral to calculate area

SOLUTION

PROBLEM

To understand this problem of area under curve you must know ,The graphs of closed loops , Concept of asymptotes and how we use integral to calculate area

SOLUTION

PROBLEM

solution

PROBLEM

To understand this problem of area under curve you must know ,The graphs of trigonometric functions , Concept of mod functions and how we use integral to calculate area

To understand this problem of definite integration you must know :Concepts of mod and greatest integer functions and basic indefinite integration

PROBLEM

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration , product rule ,and simple properties of definite integrals

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration , product rule ,and simple properties of definite integrals

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration , Concept of mod functions ,and simple properties of definite integrals

SOLUTION

PROBLEM

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration , concept of greatest integer function and fractional part of x ,and simple properties of definite integrals (Break point property)

SOLUTION

PROBLEM

SOLUTION

SOLUTION

SOLUTION

PROBLEM

To understand this problem of definite integration you must know : Basic indefinite integration , Concept of max and min functions, Break point property of definite integration