CA Foundation P3 · Chapter 8 · Question 6 of 9
∫(6x² − 4x + 5) dx is equal to:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 2x³ − 2x² + 5x + C
Explanation
Using ∫xⁿ dx = xⁿ⁺¹/(n + 1): ∫6x² dx = 2x³, ∫4x dx = 2x², ∫5 dx = 5x. Hence the integral is 2x³ − 2x² + 5x + C. 12x − 4 is the derivative, not the integral.
More Basic Applications of Differential and Integral Calculus in Business and Economics MCQs
- Q8The demand function for a product is q = 100 − 2p. The price elasticity of demand (in absolute value) at p = 20 is:
- 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: