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WBJEE Limit of a Sum — practice questions

Explore 1 free Limit of a Sum questions in WBJEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Limit of a Sum questions and exercises with answers

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Using definite integration as the limit of a sum, $\int_1^2 (2x + 5)\,dx$ equals:Read the answer and worked solution →

Worked practice questions

Using definite integration as the limit of a sum, $\int_1^2 (2x + 5)\,dx$ equals:

  1. $6$
  2. $8$
  3. $10$
  4. $12$
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Correct answer: B. $8$

**Direct evaluation:** $[x^2 + 5x]_1^2 = (4 + 10) - (1 + 5) = 14 - 6 = 8$. (The limit-of-sum approach in the textbook yields the same: $\lim_n h\sum(7 + 2rh) = 7(1) + (1)(1+0) = 8$.)

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