Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2020MathematicsIndefinite IntegrationActual

What is the value of k such that integration of 3 x^2+8-4 k x with respect to x , may be a rational function?

Options

  1. A0
  2. B1
  3. C2
  4. D-2

Correct answer

C. 2

Step-by-step solution

I= ( 3 x^2+8-4 k x ) d x aligned & = 3 x d x+ 8-4 k x d x & = 3 2 x^2+(8-4 k) (x)+C aligned where C= constant To get integration as rational function, (8-4 k) (x)=0 8-4 k=0 k= 8 4 =2

Practice Indefinite Integration on Quantrex Academy →

More from Indefinite Integration

Passage: Let ,d (2+ )(3+4 ) =A |2+ |+B |3+4 | . Question: What is the value of A ? 2026Passage: Let ,d (2+ )(3+4 ) =A |2+ |+B |3+4 | . Question: What is the value of B ? 2026What is dx 10^x + 10^ -x equal to? 2025Consider the following for the two (02) items that follow: Let the function y = (1 - x)⁻¹ , where x 2n and n is an integer. What is y , dx equal to? 2025For the following two (02) items: Let u = e^x x , dx and v = e^x x , dx . Consider the following: I. du dx = -v II. dv dx = -u Which of the above is/are correct? 2025For the following two (02) items: Let u = e^x x , dx and v = e^x x , dx . What is u + v equal to? 2025Let d x x+1 - x-1 = (x+1)^ 3 2 + (x-1)^ 3 2 +c What is the value of ? 2024Paragraph: Let 2 x^2-1 x^2+1 d x= U (x) V (x)-3 U (x)+ V (x) +c Question: What is U (x) V (x) equal to? 2024 Full Indefinite Integration list All NDA PYQs