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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

If f(x), g(x), h(x) and φ(x) are polynomial in x , ( ∫_1^x f(x)...

If

f(x), g(x), h(x)

and \phi(x)

are polynomial in

x

,

\left( \int_1^x f(x) h(x) dx \right) \left( \int_1^x g(x) \phi(x) dx \right) - \left( \int_1^x f(x) \phi(x) dx \right) \left( \int_1^x

g(x) h(x) dx \right)

is divisible by

(x - 1)^\lambda

. Find maximum value of

\lambda

.

Correct answer

4

Step-by-step solution

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