CA Foundation P3 · Chapter 8 · Question 7 of 9
The value of the definite integral ∫ from 1 to 3 of (2x + 1) dx is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 10
Explanation
∫(2x + 1) dx = x² + x. Evaluating: (9 + 3) − (1 + 1) = 12 − 2 = 10. Taking only the upper-limit value gives 12.
More Basic Applications of Differential and Integral Calculus in Business and Economics MCQs
- Q9The marginal revenue function of a firm is MR = 50 − 4x. The corresponding demand (average revenue) function is:
- Q1The derivative of y = x⁵ + 3x² − 7 with respect to x is:
- Q2The derivative of x²eˣ with respect to x is:
- Q3The total cost function of a firm is C = 0.5x² + 20x + 400 (in ₹). The marginal cost when x = 30 units is:
- Q4The derivative of y = log(3x² + 1) with respect to x is: