Use a Trigonometric Substitution to Evaluate the Integral $$\int _ { 1 / e } ^ { 1 } \frac { d y } { 16 y - y ( \ln y ) ^ { 2 } }$$

question 70

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- $$\int _ { 1 / e } ^ { 1 } \frac { d y } { 16 y - y ( \ln y ) ^ { 2 } }$$

• A) 0.061
• B) -0.511
• C) 0.064
• D) 0.245

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Definitions:

Phenotypic Ratio

The proportional relationship between the different phenotypes (observable traits) produced by a genetic cross, often expressed in simplest whole numbers.

Heterozygous

Having two different alleles for a specific gene, one inherited from each parent.

Dominant

Relating to a trait that is expressed in an organism's phenotype, even when only one copy of the gene for that trait is present.

Genotype

The genotype is the genetic makeup of an organism, comprising all the DNA sequences that determine its inherited traits.