Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

**Paragraph for Question Nos. 6 to 8** Consider the function f(x)...

**Paragraph for Question Nos. 6 to 8** Consider the function f(x)f(x) and g(x)g(x), both defined from R→Rf(x)=x32+1−x∫0xg(t)dtR \rightarrow Rf(x) = \frac{x^3}{2} + 1 - x \int_0^x g(t) dt and g(x)=x−∫01f(t)dtg(x) = x - \int_0^1 f(t) dt, then Minimum value of f(x)f(x) is :

Options

  1. A0
  2. B1
  3. C32\frac{3}{2}
  4. DDoes not exist

Correct answer

B. 1

Step-by-step solution

Open this question in the Quantrex Academy app for the full interactive solution, figures and similar PYQs.
Practice Indefinite and Definite Integration on Quantrex Academy →

More from Indefinite and Definite Integration

**Paragraph for Question Nos. 1 to 2** Let f(x) = ∫ x^2 ^2 x (2x + 6 x - 2x ^2 x) dx and… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 1 to 2** Let f(x) = ∫ x^2 ^2 x (2x + 6 x - 2x ^2 x) dx and… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 12 to 13** Let f_0(x) = x and for n ≥ 0 and x > 0 Let f_… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 12 to 13** Let f_0(x) = x and for n ≥ 0 and x > 0 Let f_… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 14 to 15** Let f : R arrow [-(3)/(4), ∞) be a surjective… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 14 to 15** Let f : R arrow [-(3)/(4), ∞) be a surjective… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 16 to 17** Let g(x) = x^c e^ cx and f(x) = ∫_0^x t e^ 2t (1… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 16 to 17** Let g(x) = x^c e^ cx and f(x) = ∫_0^x t e^ 2t (1… Black Book Advanced Problems in Mathematics Full Indefinite and Definite Integration list Indefinite and Definite Integration JEE Maths PYQsJEE Mathematics PYQs All Black Book Advanced Problems in Mathematics PYQs