JAMIA 2025 — Mathematics PYQ
JAMIA | Mathematics | 2025The definite integral of x2 from 0 to 2 is:
Choose the correct answer:
- A.
8/3
(Correct Answer) - B.
4
- C.
6
- D.
None of these
8/3
Explanation
Solution
Step 1: Antiderivative nikalna
Power rule (∫xndx=n+1xn+1) ka upyog karne par:
∫x2dx=3x3
Step 2: Definite integral mein limits rakhna
Humein 0 se 2 tak integrate karna hai:
∫02x2dx=[3x3]02
Step 3: Values substitute karna
∫02x2dx=323−303
∫02x2dx=38−0
Final Answer:
∫02x2dx=38
Explanation
Solution
Step 1: Antiderivative nikalna
Power rule (∫xndx=n+1xn+1) ka upyog karne par:
∫x2dx=3x3
Step 2: Definite integral mein limits rakhna
Humein 0 se 2 tak integrate karna hai:
∫02x2dx=[3x3]02
Step 3: Values substitute karna
∫02x2dx=323−303
∫02x2dx=38−0
Final Answer:
∫02x2dx=38

