JAMIA 2025 — Mathematics PYQ
JAMIA | Mathematics | 2025The area under the curve y=x2 from x=0 to x=1 is:
Choose the correct answer:
- A.
1/3
(Correct Answer) - B.
1/2
- C.
1
- D.
2/3
1/3
Explanation
Solution
Step 1: Definite integral likhna
Area nikalne ka sutra (formula) niche diya gaya hai:
A=∫01x2dx
Step 2: Antiderivative nikalna
Power rule (∫xndx=n+1xn+1) ka upyog karne par:
A=[3x3]01
Step 3: Limits rakhna
Humein x=1 (upper limit) aur x=0 (lower limit) ki values rakhni hain:
A=313−303
A=31−0
Final Answer:
A=31
Explanation
Solution
Step 1: Definite integral likhna
Area nikalne ka sutra (formula) niche diya gaya hai:
A=∫01x2dx
Step 2: Antiderivative nikalna
Power rule (∫xndx=n+1xn+1) ka upyog karne par:
A=[3x3]01
Step 3: Limits rakhna
Humein x=1 (upper limit) aur x=0 (lower limit) ki values rakhni hain:
A=313−303
A=31−0
Final Answer:
A=31