Q67.The value of ∫ −ππ 2 1+esin (1) π4 (2) π (3) π2 (4) 3π2
What This Question Tests
This question applies a fundamental property of definite integrals (King's Rule) to simplify the integral, allowing for direct evaluation without complex anti-differentiation.
Concepts Tested
Formulas Used
∫_a^b f(x) dx = ∫_a^b f(a+b-x) dx
📚 NCERT Sections This Tests
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2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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