Use Substitution and Partial Fractions to Find the Indefinite Integral $\int \frac { \sqrt { x } } { x - 25 } d x$

question 12

Multiple Choice

Use substitution and partial fractions to find the indefinite integral.
$\int \frac { \sqrt { x } } { x - 25 } d x$

• A)
• \(\int \frac { \sqrt { x } } { x - 25 } d x = 5 \log ( 5 - \sqrt { x } ) - 4 \log ( \sqrt { x } - 5 ) + C\)
• B)
• \(\int \frac { \sqrt { x } } { x - 25 } d x = \sqrt { x } + \log ( 5 - \sqrt { x } ) - 4 \log ( \sqrt { x } - 5 ) + C\)
• C)
• \(\int \frac { \sqrt { x } } { x - 25 } d x = 2 \sqrt { x } + \log ( 1 - \sqrt { x } ) + C\)
• D)
• \(\int \frac { \sqrt { x } } { x - 25 } d x = 2 \sqrt { x } + x ^ { 2 } + 5 \log ( 5 - \sqrt { x } ) - 4 \log ( \sqrt { x } - 5 ) + C\)
• E)
• \(\int \frac { \sqrt { x } } { x - 25 } d x = 2 \sqrt { x } + 5 \log ( 5 - \sqrt { x } ) - 4 \log ( \sqrt { x } - 5 ) + C\)

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Definitions:

Pollen Grains

Microscopic structures containing male gametes that are transferred from the male anther to the female reproductive structure in plants.

Ovules

The structure within the ovary of seed plants that develops into a seed after fertilization.

Contained

Something that is held or enclosed within a boundary or container, preventing it from spreading or escaping.

Ovary

In flowering plants, the enlarged, ovule-bearing portion of the carpel that develops into a fruit; female gonad in animals that produces an egg and female sex hormones.