Find the Indefinite Integral $$\int x ^ { - 2 / 3 } \sqrt { x ^ { 1 / 3 } - 2 } d x$$

question 73

Multiple Choice

Find the indefinite integral.
$$\int x ^ { - 2 / 3 } \sqrt { x ^ { 1 / 3 } - 2 } d x$$

• A) \(2 \left( x ^ { 1 / 3 } - 2 \right) ^ { 3 / 2 } + C\)
• B) \(2 x ^ { 1 / 3 } \left( x ^ { 1 / 3 } - 2 \right) ^ { 3 / 2 } + C\)
• C) \(\frac { 1 } { 2 } \left( x ^ { 1 / 3 } - 2 \right) ^ { 3 / 2 } + C\)
• D) \(x ^ { 1 / 3 } \left( x ^ { 1 / 3 } - 2 \right) ^ { 3 / 2 } + C\)

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Definitions:

Complete Dominance

a genetic condition where one allele completely masks the effect of another allele in a heterozygous combination.

Dominant Gene

A gene that expresses its phenotype in the presence of another allele.

Homozygous

A genetic condition where an individual has two identical alleles for a particular trait or gene.

Heterozygous

Having two different alleles of a particular gene or genes, resulting in variation of a genetic trait.