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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

Given a function g , continuous everywhere such that g(1) = 5 and...

Given a function

g

, continuous everywhere such that

g(1) = 5

and

\int_0^1 g(t) dt = 2

. If

f(x) = \frac{1}{2} \int_0^x (x - t)^2 g(t) dt

, then find the value of

f'''(1) + f''(1)

.

Correct answer

7

Step-by-step solution

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