The integration of odd function over a symmetric interval can be understood through some fundamental concepts in calculus and symmetry. An odd function is defined as a function $f(x)$ that satisfies the condition $f(-x) = -f(x)$ for all $x$ in the domain of the function. Graphically, odd functions exhibit symmetry about the origin, meaning their […]

The Central Board of Secondary Education (CBSE) is one of the oldest and most preferred educational board in India. The board conducts the final examination for Class 10 and 12 along with various other competitive examinations. CBSE aims to provide a quality education to all its learners so that they can succeed in their future.

We can easily find the integration of $\frac {1}{1+ cos x}$ and $\frac {1}{1 -cos x}$ using trigonometric identities and fundamental integration techniques, The formula of these integral is given as $\int \frac {1}{1+ cos x} \; dx = \tan \frac {x}{2} + C$ or $\int \frac {1}{1+ cos x} \; dx = -\cot x

Here is the CBSE Class 12 Maths Syllabus CLASS XII (Total Periods 240) UNIT I: RELATIONS AND FUNCTIONS Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. UNIT II: ALGEBRA Concept, notation, order, equality, types of matrices, zero