Q65.If ∫sin−1( 1+x√x )dx ordered pair (A(x), B(x)) can be : (1) (x −1, √x) (2) (x −1, −√x) (3) (x + 1, √x) (4) (x + 1, −√x) 2 x2
What This Question Tests
The question tests the ability to solve an indefinite integral using integration by parts, likely after recognizing a specific inverse trigonometric form or performing a suitable substitution. The question text has a probable typo, interpreted as `∫ tan⁻¹(√x) dx` based on options.
Concepts Tested
Formulas Used
∫u dv = uv - ∫v du
d/dx(tan⁻¹(u)) = u'/(1+u²)
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13.5 The Q value of a nuclear reaction A + b ® C + d is defined by Q = [ mA + mb – mC – md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H →12 H+12 H (ii) 126 C+126 C →1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by Parts
- Year
- 2020
- Shift
- 03 Sep Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Indefinite Integration
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