Express the Integrand as a Sum of Partial Fractions and Evaluate

question 205

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $\int _ { 3 } ^ { 7 } \frac { 4 x d x } { ( x - 2 ) ^ { 3 } }$

• A) \(\frac { 176 } { 25 }\)
• B) \(- \frac { 176 } { 25 }\)
• C) \(\frac { 44 } { 25 }\)
• D) \(- \frac { 224 } { 25 }\)

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Definitions:

Fraternal Twins

Fraternal twins are siblings born at the same time as a result of two separate eggs being fertilized by two different sperm, sharing about 50% of their genes.

Deoxyribonucleic Acid (DNA)

The molecule that carries genetic instructions for the development, functioning, growth, and reproduction of all living organisms and many viruses.

Cytosine

A pyrimidine base found in DNA and RNA that pairs with guanine.

Guanine

One of the four main nucleobases found in the nucleic acids DNA and RNA, pairing with cytosine in DNA and contributing to the genetic code.