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\(\S\S\) 7.6 Q[11] \(\int_1^\infty \frac{(x-1)^{p-1}}{x^2}\,dx\)

Node id: 1870page

\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[13] \(\int_0^\infty \frac{ x^{p-1} dx}{x^3+b^3}\)

Node id: 1872page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S 7.11\) Q[2] \(\int_0^\infty \frac{(\sin x - x\cos x)}{x^3} dx \)

Node id: 1922page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[4] \( \int_0^\infty \frac{x^3-\sin^3x}{x^5} dx\)

Node id: 1924page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[6] \( \int_0^\infty \frac{\sin^2 px \cos 2qx}{x^2} dx \)

Node id: 1926page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[9] \( \int_0^\infty \frac{1}{1-x^4} dx \)

Node id: 1928page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

Resources that have a high priority for development are listed here.

Node id: 2033page

This table provdes an idea what is taken up in first phase of development.
 There are no links to the contents here.

 At present content for Math Phys, Quantum Mechanics and Quantum Field Theory is being made available
  
Quantum Mechanics
  • QM-I (2012)
  • QM-I (2017)
  • Self Study Units
  • Problem Solving Units

Quantum Field Theory

  • QFT(2106)
  • QFT(2017)

 

Mathematical Physics 
  • Complex Variables
  • Vector Spaces
  • Group Theory
  • Ordinary Differential Equations
  • Partial Differential Equations
 

Mechanics

  • Mechanics (2012) ( Download Link)
    Lectures Given at University of Hyderabad
 
  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[4] \(\int_0^\infty \frac{x^p}{x^2+a^2}\, dx\)

Node id: 1865page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[7] \( \int_0^\infty \frac{x^p}{x^6+1}\, dx \)

Node id: 1867page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[9] \(\int_0^\infty \frac{x^{p-1}}{1+x^q}\)

Node id: 1869page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[12] \(\int_1^\infty\frac{(x-1)^{p-1}}{x^3}\, dx\)

Node id: 1871page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[14] \(\int_0^\infty \frac{x^p}{x^2+2x\cos\alpha +1} \)

Node id: 1873page

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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[3] \( \int_0^\infty \frac{\sin^3x}{x^3} dx \)

Node id: 1923page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[5] \( \int_0^\infty \frac{\sin (p x) \sin (q x)}{x^2} dx\)

Node id: 1925page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[7] \(\int_0^\infty \frac{\cos px - \cos qx}{x^2} dx\)

Node id: 1927page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.11 Q[8] \( \int_0^\infty \frac{\sin \pi x}{x(1-x^2)} dx\)

Node id: 1929page

\(\S\S\ 7.11\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]  [15]

 kapoor's picture 21-08-21 23:08:05 n

VS-Problem Sets-01 -- Groups, Fields Vector Spaces

Node id: 1815page
  1. Groups, Fields, Vector Spaces,  Subspaces
  2. Linear independence, basis and dimension
  3. Linear functionals
  4. New Vector Spaces From Old
  5. Linear operators
  6. Matrix Representation in Vector Spaces
  7. Canonical Forms
 kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-03 -- Linear Functionals

Node id: 1817page 		kapoor's picture 21-08-21 16:08:05 n

\(\S\S\) 7.9 Q[6] \(\int_0^\infty \frac{x\{\exp(-qx) + \exp[(q-p)x]\}}{1- \exp(-px)}\, dx \)

Node id: 1892page

\(\S\S 7.9\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7,8,9,10] [11]  [12]  [13]  [14]

 kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-02 Linear Independence, Basis and Dimesnsion

Node id: 1816page
  1. Groups, Fields, Vector Spaces,  Subspaces
  2. Linear independence, basis and dimension
  3. Linear functionals
  4. New Vector Spaces From Old
  5. Linear operators
  6. Matrix Representation in Vector Spaces
  7. Canonical Forms
 kapoor's picture 21-08-21 16:08:05 n

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