Q83. sin2 x cos2 x The integral dx is equal to: ∫ 2 (sin3 x + cos3 x) 1 1 (1) + c (2) − + x (1+cot3 x 3(1+tan3 c) (3) sin3 x + c (4) − cos3 x + c (1+cos3 x 3(1+sin3 x
What This Question Tests
This question requires recognizing the appropriate substitution using trigonometric manipulations to transform the integral into a simpler form that can be solved using the power rule.
Concepts Tested
Formulas Used
∫ uⁿ du = uⁿ⁺¹/(n+1) + C
d(tan³x) = 3 tan²x sec²x dx
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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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
- Indefinite Integration
- Topic
- Integration by Substitution
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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