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2026

Mathematics

Some Properties of Definite Integrals
3D Geometry
Absolute maxima and Absolute minima
Adjoint of a Matrix
Angle between two lines
Application of Integrals
Application of derivatives
Applications of Derivatives
Applications of Vectors
Area of the region bounded
Area under Simple Curves
Bernoulli Trials and Binomial Distribution
Binomial Distribution
Calculus
Circles
Collinearity of points
Complex Numbers
Composition of Functions and Invertible Function
Conditional Probability
Continuity
Continuity
Continuity and differentiability
Coordinate Geometry
Definite Integral
Definite Integral
Derivatives
Derivatives of Functions in Parametric Forms
Determinant
Determinants
Determinants
Differentiability
Differential Calculus
Differential Equations
Differential Equations
Differential equations
Differentiation
Differentiation by taking log
Differentiation of Implicit Functions
Direction Cosines and Direction Ratios of a Line
Distance Formula
Distance between point and line
Distance between points
Distance of a Point From a Line
Domain of a Function
Elementary Operation (Transformation) of a Matrix
Evaluation of Definite Integrals by Substitution
Evaluation of Limits
Evaluation of derivatives
Exponential and Logarithmic Functions
Functions
Functions
Geometry
Increasing and Decreasing Functions
Indefinite Integrals
Independent Events
Inequalities
Integral Calculus
Integrals of Some Particular Functions
Integration
Integration by Partial Fractions
Integration by Parts
Inverse Trigonometric Functions
Inverse Trigonometric Functions
Inverse of a Function
Inverse of a Matrix
Limit and Continuity
Linear Algebra
Linear Equations
Linear Programmig Problem
Linear Programming
Linear Programming Problem
Linear Programming Problem and its Mathematical Formulation
Lines
Logarithmic Differentiation
Magnitude and Directions of a Vector
Matrices
Matrices
Matrix
Maxima and Minima
Mensuration
Methods of Integration
Methods of Solving First Order, First Degree Differential Equations
Number System
Operations on Matrices
Order of Matrix
Probability
Probability
Probability Distribution
Range of a Function
Rate of Change of Quantities
Relations
Relations and Functions
Relations and functions
Relations and its properties
Scalar and Vector Product
Set Theory and types of Sets
Skew Lines
Surface Area of a Sphere
Symmetric and Skew Symmetric Matrices
System of Linear Equations
Three Dimensional Geometry
Transpose of a Matrix
Trigonometric Functions
Trigonometric Identities
Trigonometry
Types of Functions
Types of Matrices
Unit Vectors
Vector Algebra
Vector Algebra
Vectors
Vectors
Volume of Cube, Cuboid and Cylinder
integral

List of top Mathematics Questions on Some Properties of Definite Integrals asked in CBSE Class XII

Evaluate : \( \int_{-\pi/2}^{\pi/2} \frac{\cos^2 x}{2^x + 1} \, dx \)

Evaluate the definite integral: \[ \int_{\frac{\pi}{12}}^{\frac{5\pi}{12}} \frac{1}{1 + \sqrt{\cot x}} \, dx \]