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Integral Tutorials

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Differentiation and integration of Fourier series.by LearnOnline Through OCW

984 Views

How can a Fourier series be differentiated and integrated is explained with the help of explained in this video lecture. Integration of the Fourier se...

Riemann integral.by LearnOnline Through OCW

28 Pages|642 Views

Riemann conditions and Riemann theorem for double integral are stated. Some more theorems on integral are stated and proved. Fubini theorem for double...

Riemann sum and triple integral.by LearnOnline Through OCW

5 Pages |792 Views

Triple integral is defined and explained through solved examples. The Riemann sum for triple integration is defined. Triple integration of sum of two ...

Introduction of double integration.by LearnOnline Through OCW

917 Views

Integration of a function of a single variable is defined as the area below the graph of the function in a certain interval where as double integratio...

To fine double integral in polar coordinates.by LearnOnline Through OCW

797 Views

The steps to find double integral in polar coordinate are discussed in this video lecture. It states that first the function should be expressed in po...

Riemann condition for existence of integral.by LearnOnline Through OCW

12 Pages|1120 Views

The Riemann condition for existence of integral is analysed and proved in this lecture note by Professor James Raymond Munkres. Using the basic proper...

Introduction of definite integralsby LearnOnline Through OCW

736 Views

Definition of definite integrals is explained with the help of few examples. Interpretation of integration as to find 'the area under a curve' that is...

Calculus: Integration by Partsby Tammy the Tutor

6 Pages|9804 Views

integrating products with integration by parts -- includes the boomerang integral.

Substitution of the variables in double integrationby LearnOnline Through OCW

1256 Views

How the variables in a double integral can be substituted by other variables, this is explained through examples in this video lecture. The double int...

Reception&Integrationby AIESEC Italy

12 Pages|258 Views

Reception, Integration and Re Integration EP. We are going to understand how we can help a foreign student in integration in our country. We will pass...

Piecewise-monotonic functions and their integration.by LearnOnline Through OCW

4 Pages |1260 Views

Definition of Piecewise monotonic function is given and discussed in this note. Rieman condition is applied to prove the integrability of such functio...

The substitution rule of integration.by LearnOnline Through OCW

6 Pages|459 Views

The substitution rule, partial converse theorem are stated and proved. The application of the above theorems are explained by solving some problems. T...

Formulas of derivative and integration of trigonometric functions.by LearnOnline Through OCW

2031 Views

The basic formulas of integrating trigonometric functions are explained by Prof. David Jerison in this video tutorial. Application of these formulas a...

Line integrals in space.by LearnOnline Through OCW

628 Views

The diffusion equation is established with the help of properties of concentration of fluid in Physics and the divergence theorem in Mathematics. The ...

The fundamental theorem of calculus for line integralby LearnOnline Through OCW

1456 Views

The line integral for work done around a curve is discussed in this video lecture. The special case when the vector field is a gradient field, how the...

Triple integrals in rectangular and cylindrical coordinates.by LearnOnline Through OCW

769 Views

Work, flux curl etc are introduced in the space that is the form of this in three dimensional geometry is discussed in this video tutorial by Prof. D...

Riemann sum and double integral.by LearnOnline Through OCW

5 Pages |1456 Views

Riemann sum, indicator function are defined and explained. The conditions under which a function is integrable are stated. Types of bounded regions wh...

Application of double integral.by LearnOnline Through OCW

5 Pages|767 Views

Volume of a solid ball of radius a is calculated using double integral. other application of double integration are shown. The volume of a cone whose ...

Line integral and its application.by LearnOnline Through OCW

5 Pages |664 Views

Line integral is defined and analysed with examples. The conditions required foe a function to be orientation-preserving and orientation-reversing are...

Reception&Integrationby AIESEC Italy

12 Pages|406 Views

Reception, Integration and Re Integration EP. We are going to understand how we can help a foreign student in integration in our country. We will pass...