Class 11 Physics (India): Definite integral as the limit of a Riemann sum

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Class 11 Physics (India): Definite integral as the limit of a Riemann sum

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Description

Definite integrals represent the exact area under a given curve, and Riemann sums are used to approximate those areas. However, if we take Riemann sums with infinite rectangles of infinitely small width (using limits), we get the exact area, i.e. the definite integral!

Class 11 Physics (India)

Let's learn, practice, and master topics of class 11 physics (NCERT) starting with kinematics and then moving to dynamics with Newton's laws of motion, work, energy, and power. Let's then use these as the foundation to learn about centre of mass, rotational motion, gravitation, solids, fluids, thermodynamics, and oscillations and waves.

Riemann sums

Riemann sums is the name of a family of methods we ca…

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Definite integrals represent the exact area under a given curve, and Riemann sums are used to approximate those areas. However, if we take Riemann sums with infinite rectangles of infinitely small width (using limits), we get the exact area, i.e. the definite integral!

Class 11 Physics (India)

Let's learn, practice, and master topics of class 11 physics (NCERT) starting with kinematics and then moving to dynamics with Newton's laws of motion, work, energy, and power. Let's then use these as the foundation to learn about centre of mass, rotational motion, gravitation, solids, fluids, thermodynamics, and oscillations and waves.

Riemann sums

Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Learn about the different ways and how they are constructed.

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