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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

The value of ∫_0^1 ((x^6 - x^3))/((2x^3 + 1)^3) dx is equal to :

The value of

\int_0^1 \frac{(x^6 - x^3)}{(2x^3 + 1)^3} dx

is equal to :

Options

A $-\frac{1}{6}$
B $-\frac{1}{12}$
C $-\frac{1}{18}$
D $-\frac{1}{36}$

Correct answer

D. $-\frac{1}{36}$

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