Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2015MathematicsDefinite IntegrationActual

Consider the integrals A= ₀^ x d x x+ x and B= ₀^ x d x x- x Which one of the following is correct?

Options

  1. AA =2 ~B
  2. BB =2 ~A
  3. CA = B
  4. DA =3 ~B

Correct answer

C. A = B

Step-by-step solution

A= ₀^ x x+ x d x Using property aligned & A= ₀^ ( -x) ( -x)+ ( -x) d x & A= ₀^ x x- x d x=B & A=B aligned

Practice Definite Integration on Quantrex Academy →

More from Definite Integration

Passage: Let f(x)= x and g(x)-f(x)=f(4-x) . Question: What is ₀^4 f(x) g(x) ,dx equal to ? 2026Passage: Let ₀^ 2 a x+b x (a+b)( x+ x) ,dx=k . Question: What is the value of k ? 2026Passage: Let f(x)= x and g(x)-f(x)=f(4-x) . Question: What is ₀^4 f(4-x) g(4-x) ,dx equal to ? 2026Passage: Let ₀^ 2 a x+b x (a+b)( x+ x) ,dx=k . Question: What is ₀^ 2 a x+b x x+ x ,dx equal to ? 2026Consider the following for the two (02) items that follow: Let f(x) = [x^2] , where [ ] is the greatest integer function. What is _ 2 ² f(x) , dx equal to? 2025What is _n^ n+1 (x - [x]) , dx , where [ ] is the greatest integer function and n is a natural number? 2025If I₁ = _e^ e^2 dx x and I₂ = ₁^2 e^x x , dx , then which one of the following is correct? 2025Paragraph: Let I = ₀^ 2 f(x) g(x) d x , where f(x)= x and g(x)= x+ x+1 . Question: What is ₀^ 2 d x g(x) equal to? 2024 Full Definite Integration list All NDA PYQs