Q66.If ∫(e2x + 2ex −e−x −1)e(ex+e−x)dx = g(x)e(ex+e−x) (1) e (2) e2 (3) 1 (4) 2 1 2 x dx is :
What This Question Tests
The question tests the ability to recognize a complex integral that can be solved efficiently using a suitable substitution, requiring careful algebraic manipulation of the integrand.
Concepts Tested
Formulas Used
∫ f(g(x))g'(x) dx = ∫ f(u) du
📚 NCERT Sections This Tests
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
13.5 — The Q Value Of A Nuclear Reaction A + B ® C + D Is Defined By
Physics Class 12 · Chapter 13
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
12.4 — The Ground State Energy Of Hydrogen Atom Is –13.6 Ev. What Are The
Physics Class 12 · Chapter 12
12.4 The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by substitution
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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