Evaluate the Given Integral $$\int _ { 0 } ^ { 1 / 7 } \frac { 1 } { 1 + 49 x ^ { 2 } } d x$$

question 68

Multiple Choice

Evaluate the given integral. Select the correct answer.
$$\int _ { 0 } ^ { 1 / 7 } \frac { 1 } { 1 + 49 x ^ { 2 } } d x$$

• A) \(\frac { \pi } { 35 }\)
• B) \(\frac { \pi } { 21 }\)
• C) \(\frac { \pi } { 14 }\)
• D) \(\frac { \pi } { 28 }\)

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Definitions:

Acclimatization

Adjustment to seasonal changes.

Torpor

An energy-conserving state of low metabolic rate and inactivity. See estivation and hibernation.

Metabolic Rate

Energy use by an organism per unit time. See basal metabolic rate (BMR).

Hibernation

Long-term torpor in response to winter cold and scarcity of food. Compare with estivation.