Use a Table of Integrals to Evaluate the Integral $\int \frac { \sqrt { 6 x + 5 } } { x ^ { 2 } } d x$

question 5

Multiple Choice

Use a table of integrals to evaluate the integral.
$\int \frac { \sqrt { 6 x + 5 } } { x ^ { 2 } } d x$

• A) \(- \frac { \sqrt { 6 x + 5 } } { x } + \frac { 3 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• B)
• \(- \frac { \sqrt { 6 x + 5 } } { x } + \frac { 6 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• C)
• \(- \frac { 6 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• D)
• \(- \frac { 3 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)

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Definitions:

Monozygotic Twins

Twins that result from one zygote splitting and developing into two individuals, typically sharing 100% of their genetics.

Codominance

A genetic scenario where two alleles of a gene pair in a heterozygote are fully expressed, resulting in offspring with a phenotype that is neither dominant nor recessive.

Alleles

Variants of a gene that exist on the same place on a chromosome and determine distinct traits that can be passed from parents to offspring.

Polygenic Inheritance

A pattern of inheritance where multiple genes are involved in determining a trait or characteristic.