Maths Volume-8 Part II(Definite Integral)

Synopsis of Definite Integral - I

Description: Definite integrals evaluate functions over intervals, providing exact areas under curves using limits.

Basic Definition - I

Description: Integration sums infinitesimal parts, determining accumulated quantities within defined boundaries for precise measurements.

Basic Definition - II

Description: Limits define integral evaluation, ensuring accurate function accumulation over specific intervals in real applications.

Basic Definition - III

Description: Integrals compute areas under curves, providing essential tools for physics, engineering, and economics calculations.

Properties of Definite Integral - II

Description: Reversing limits negates results, emphasizing order importance in definite integral computations for correctness.

Properties of Definite Integral - III

Description: Zero-width intervals result in integrals equaling zero, proving limits’ significance in definite integrations.

Properties of Definite Integral - IV

Description: Odd functions over symmetric limits yield zero, simplifying integral computations in specific problem cases.

Properties of Definite Integral - V

Description: Even functions allow doubling integrals, reducing complexity when evaluating definite integrals symmetrically.

Properties of Definite Integral - VI

Description: Integral properties assist in transforming functions, making calculations easier and more efficient.

Properties of Definite Integral - VII

Description: Substitution simplifies integral evaluation, converting complex functions into solvable standard integral forms.

Maths Volume-11(3D Geometry)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-7 Part II(Continuity and Differentiability)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Physics Volume-10(Waves)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-6(Mechanics-VI)

Board: State Board

Stream: Science

Standard: XII

Course: JEE/NEET

Physics Volume-8(Thermodynamics-II)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-5(Mechanics-V)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-9(Thermodynamics-III)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-7(Thermodynamics-I)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-1(Mechanics-I)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-2(Mechanics-II)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Physics Volume-3(Mechanics-III)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET