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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 The number of points of intersection of f(x)f(x) and g(x)g(x) is/are :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

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