Q83.The integral ∫ dx is equal to (1+√x)√x−x2 (1) (2) + c + c −2√1+√x1−√x −√1−√x1+√x (3) (4) −2 + c + c √1−√x1+√x √1+√x1−√x
What This Question Tests
This question requires recognizing a suitable substitution and then performing further algebraic manipulation to integrate a complex rational function involving square roots.
Concepts Tested
Formulas Used
∫ du/(a² - u²) = (1/2a)ln|(a+u)/(a-u)| + C
📚 NCERT Sections This Tests
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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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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
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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.
📋 Question Details
- Chapter
- Indefinite Integration
- Topic
- Integration by substitution
- Year
- 2016
- Shift
- 10 Apr Online
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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