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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)

and

g(x)

, both defined from

R \rightarrow Rf(x) = \frac{x^3}{2} + 1 - x \int_0^x g(t) dt

and

g(x) = x - \int_0^1 f(t) dt

, then The area bounded by

g(x)

with co-ordinate axes is (in square units) :

Options

A $\frac{9}{4}$
B $\frac{9}{2}$
C $\frac{9}{8}$
DNone of these

Correct answer

C. $\frac{9}{8}$

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