Kendriya Vidyalaya Sangathan Ranchi Region Mathematics Support Material Quiz
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Questions and Answers

What is the integral of sin(x) with respect to x?

  • -sin(x) + C
  • -cos(x) + C
  • sin(x) + C
  • cos(x) + C (correct)

What is the integral of x^2 with respect to x?

  • (1/5)x^5 + C
  • (1/3)x^3 + C (correct)
  • (1/2)x^2 + C
  • (1/4)x^4 + C

What is the integral of e^(mx) with respect to x?

  • (1/m)e^(mx) + C (correct)
  • (1/m^2)e^(mx) + C
  • (m)e^(mx) + C
  • (m^2)e^(mx) + C

What is the integral of x*e^x with respect to x?

<p>(x-1)e^x + C (D)</p> Signup and view all the answers

What is the integral of sin(x) with respect to x?

<p>-cos(x) + C (A)</p> Signup and view all the answers

Study Notes

Kendriya Vidyalaya Sangathan Ranchi Region Students Support Material Mathematics Class-XII Term-2 (2021-22)

Chief Patron and Patrons

  • Chief Patron: Sri D P Patel, Deputy Commissioner, KVS RO, Ranchi
  • Patron: Sri D V Ramakrishna, Assistant Commissioner, KVS RO, Ranchi

Subject Convenor and Content Development Team

  • Subject Convenor: Sri B N Patra, PGT Maths., KV CRPF Ranchi
  • Content Development Team:
    • S K Sinha, KV Namkum, Ranchi
    • Jitendra Kumar, KV No.-1, Bokaro
    • U S Prajapati, KV No.-1, Bokaro
    • Sanjay Kumar Singh, KV Tatanagar
    • Sabir Hussain, KV Hinoo, 1st Shift, Ranchi
    • Ramvilash Sharma, KV No-1, HEC, Ranchi

Mathematics (Code No.-041) Course Structure Term-2

  • One Paper, Max Marks: 40
  • Units and Marks:
    • III Calculus, 18 Marks
    • IV Vectors and Three-Dimensional Geometry, 14 Marks
    • V Probability, 8 Marks
  • Internal Assessment, 10 Marks
  • Total, 50 Marks
  • Internal Assessment:
    • Periodic Test, 5 Marks
    • Mathematics Activities: Activity file record + Term end assessment of one activity & Viva, 5 Marks

Index and Chapter Details

  • Index:
    • Sl.No. 1, Chapter: Integrals
    • Sl.No. 2, Chapter: Application of Integrals
    • Sl.No. 3, Chapter: Differential Equations
    • Sl.No. 4, Chapter: Vectors
    • Sl.No. 5, Chapter: Three Dimensional Geometry
    • Sl.No. 6, Chapter: Probability
  • Page Numbers:
    • Integrals, 6-15
    • Application of Integrals, 16-26
    • Differential Equations, 27-36
    • Vectors, 37-51
    • Three Dimensional Geometry, 52-64
    • Probability, 65-71

Integrals

  • Integration as an Inverse Process of Differentiation
  • Integration is also called Anti-Differentiation
  • Instead of differentiating the function, you will be given the derivative of a function and asked to find the original function

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Test your knowledge of mathematics related to the support material for class XII term 2 (2021-22) provided by Kendriya Vidyalaya Sangathan Ranchi Region. This quiz covers topics developed by the content team and is suitable for students preparing for their exams.

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