Integration and Its Applications

SH 401 · Chapter 2

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Chapters
4
Questions
89

Past questions by syllabus

2.

Integration and Its Applications

2.2

Definite Integrals and Their Properties

20 questions
  1. 2082 Shrawan2075 ChaitraChapter 2: Integration and Its Applications2.2 Definite Integrals and Their Properties

    Show that

    $$\int_0^1\cot^{-1}(1-x+x^2)dx=\frac{\pi}{2}-\log 2$$

    ASK ON:ChatGPTClaudeAnswers · -5 marks Asked 2×
  2. 2079 Bhadra2074 AshwinChapter 2: Integration and Its Applications2.2 Definite Integrals and Their Properties

    Integrate :

    $$\int_0^{\pi/2}\frac{\cos x\,dx}{(1+\sin x)(2+\sin x)}$$

    ASK ON:ChatGPTClaudeAnswers · -5 marks Asked 2×
  3. 2079 Baishakh2068 ChaitraChapter 2: Integration and Its Applications2.2 Definite Integrals and Their Properties

    Show that

    $$\int_0^{\pi/2}\frac{x}{(\sin x+\cos x)}dx=\frac{\pi}{2\sqrt{2}}\log(\sqrt{2}+1)$$

    ASK ON:ChatGPTClaudeAnswers · -5 marks Asked 2×
2.3

Improper Integrals

4 questions
2.4

Differentiation Under Integral Sign

14 questions
2.5

Reduction Formula; Beta Gamma Functions

23 questions
2.6

Application of Integrals for Finding Areas, Arc Length, Surface and Solid of Revolution in the Plane for Cartesian and Polar Curves

28 questions
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