Bihar Board PYQ Integration|| Most Important Topics || All Topic Cover Integration 🧠🧠By Rakesh Sir 🤞
Integration is a mathematical process that finds the area under a curve or the antiderivative of a function. It's a fundamental tool in calculus and is used to solve problems in math and physics.
What it does
Finds the area of a region under a curve
Finds the antiderivative of a function
Adds parts together to find the whole
How it works
Integration is the inverse of differentiation
The fundamental theorem of calculus states that integrating and then differentiating a continuous function will return the original function
The integration by parts formula is used to find the integral of the product of two functions
Types of integrals
Indefinite integrals: Integrals that don't have specified limits
Definite integrals: Integrals that have specified limits and a finite integral over the domain
Examples of integration formulas \int 1 dx = x + C, \int a dx = ax + C, \int sin x dx = -cos x + C, and \int cos x dx = sin x + C.
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