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Integral Calculus & Probability
JEE Mathematics • 10 questions • Free on ExamBattle
Practice Questions
Q1
∫(0 to π/2) sin x dx is:
- A. 0
- B. 1
- C. 2
- D. π/2
Q2
∫ x·eˣ dx is:
- A. xeˣ + C
- B. (x−1)eˣ + C
- C. (x+1)eˣ + C
- D. x²eˣ/2 + C
Q3
Which of the following integrals have value 0?
- A. ∫(−π to π) sin x dx
- B. ∫(−1 to 1) x³ dx
- C. ∫(0 to π) cos x dx
- D. ∫(0 to π/2) sin x dx
Q4
A bag contains 3 red and 2 blue balls. Two balls are drawn without replacement. Which statements are correct?
- A. P(both red) = 3/10
- B. P(one red, one blue) = 3/5
- C. P(both blue) = 1/5
- D. P(at least one red) = 9/10
Q5
Which of the following are properties of a probability distribution P(X)?
- A. P(X = x) ≥ 0 for all x
- B. ∑P(X = x) = 1
- C. P(X = x) ≤ 1 for all x
- D. P(X = x) = 0 for x > 10 only
Q6
∫(0 to 3) (2x + 1) dx = ?
Answer: numerical value
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