Q89.If 𝛼√2 + 𝛽√3, where 𝛼, 𝛽 are integers, then 𝛼+ 𝛽 is equal to ∫0 √1 + 𝑥2 + √1 + 𝑥23𝑑𝑥= 56 43 111
What This Question Tests
The question assesses the ability to evaluate a definite integral using an appropriate substitution, transforming the integrand into a simpler form for integration.
Concepts Tested
Formulas Used
∫f(g(x))g'(x)dx = ∫f(u)du
Power Rule for Integration
📚 NCERT Sections This Tests
13.2 — Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
3.17 — During Nuclear Explosion, One Of The Products Is 90Sr With Half-Life Of
Chemistry Class 11 · 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 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · 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.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite integral evaluation, Substitution method
- Year
- 2022
- Shift
- 28 Jul Shift 1
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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