Q66.The integral ∫( x sin x+cosx x ) 2dx (1) tan x − x sinx x+cossec x x + C (2) sec x + x sinx tanx+cosx x + C (3) sec x − x sinx tanx+cosx x + C (4) tan x + x sinx x+cossec x x + C
What This Question Tests
This question, despite its garbled text, likely tests the ability to recognize a derivative of a quotient or product within the integrand, simplify it, and then apply standard integration formulas involving trigonometric functions.
Concepts Tested
Formulas Used
d/dx (f(x)/g(x)) = (g(x)f'(x) - f(x)g'(x))/(g(x))^2
∫ sec^2 x dx = tan x + C
📚 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.
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration techniques, Algebraic manipulation for integration
- Year
- 2020
- Shift
- 04 Sep Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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