Q77.Let a differentiable function π satisfy ππ₯+ β«3 π‘ππ‘= βπ₯+ 1, π₯β₯3. Then 12π8 is equal to: (1) 34 (2) 19 (3) 17 (4) 1
What This Question Tests
This question involves evaluating a definite integral requiring trigonometric substitution, specifically converting sine and cosine terms into half-angle tangent forms, followed by logarithmic integration.
Concepts Tested
Formulas Used
β«f'(x)/f(x) dx = ln|f(x)|
sin(x) = 2tan(x/2)/(1+tan^2(x/2))
cos(x) = (1-tan^2(x/2))/(1+tan^2(x/2))
π NCERT Sections This Tests
3.17 β During Nuclear Explosion, One Of The Products Is 90Sr With Half-Life Of
Chemistry Class 11 Β· Chapter 3
3.17 During nuclear explosion, one of the products is 90Sr with half-life of 28.1 years. If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically.
12.5 β A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 Β· Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
8.17 β Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 Β· Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
π Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite Integration by Substitution
- Year
- 2023
- Shift
- 31 Jan Shift 1
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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