If I give you a derivative of a function, can you come up with a possible original function. This function is sometimes called the anti-derivative of the original function. It is sometimes also called the indefinite integral and the process of finding it is called 'integrating'. Let us also learn how to find the integral of a function.
Definite integrals are a way to describe the area under a curve. Make introduction with this intriguing concept, along with its elaborate notation and various properties.
Many formulae that we studied (memorised actually) in elementary geometry allowed us to calculate areas of many simple figures such as squares and circles but now we'll be studying how we can find between any two curves.
In this chapter we will be focussing on concepts related to differential equations, general and particular solutions of a differential equation, formation of differential equations, some methods to solve a first order - first degree differential equation and some applications of differential equations in different areas.
Let us learn about vectors which are quantities which have magnitude and direction. We'll also study some of the basic concepts about vectors, various operations on vectors, and their algebraic and geometric properties.
In Class XI, we have studied systems of linear inequalities in two variables and their solutions by graphical method. An important class of optimisation problems is linear programming problem which can be solved by graphical methods
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