Maths

Integration of inverse trigonometric functions can be calculated using integration by parts ,integration by substitution .Here are the formula for it \[ \int \sin^{-1}x \, dx = x \sin^{-1}x + \sqrt{1 – x^2} + C \] \[ \int \cos^{-1}x \, dx = x \cos^{-1}x – \sqrt{1 – x^2} + C \] \[ \int \tan^{-1}x \, […]

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

Distance Formula For two points \( P(x_1, y_1) \) and \( Q(x_2, y_2) \) in the Cartesian plane, the distance between them is given by: \[D = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\] Section Formula For two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \), the coordinates ( (x, y) ) of a point ( P

This post we will see given a function, how to check if it is one-one function or not. Lets first start with the definition of the one-one functions Definition of one-one functions A function f: A-> B is said to be one-one if, and only if, for all elements a1 and a2 in A, if

For a functionf:A ->B Set A is called the domain of the function fSet B is called the co-domain of the functionThe set of Images of all elements in Set A is called the range i.e it is the set of values of f(x) that we get for each and every x in the domain