Let $f ( x ) = \int _ { 0 } ^ { x } \frac { \sin t } { t ^ { 2 } + 1 } d t . \text { Find } f ^ { \prime } ( x )$

question 92

Multiple Choice

Let $f ( x ) = \int _ { 0 } ^ { x } \frac { \sin t } { t ^ { 2 } + 1 } d t . \text { Find } f ^ { \prime } ( x )$

• A) \(\frac { \sin t } { t ^ { 2 } + 1 }\)
• B) \(- \frac { \sin t } { t ^ { 2 } + 1 }\)
• C) \(\frac { \cos x } { x ^ { 2 } + 1 }\)
• D) \(- \frac { \sin x } { x ^ { 2 } + 1 }\)
• E) \(\frac { \sin x } { x ^ { 2 } + 1 }\)
• F) \(- \frac { \cos x } { x ^ { 2 } + 1 }\)

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Definitions:

Introspection

The examination of one's own conscious thoughts and feelings, used in psychological research.

Reinforcement

Within the realm of behavioral psychology, a consequence that, when introduced following a particular antecedent stimulus, serves to reinforce an organism's subsequent actions.

Mass Survey

A research method for collecting data from a large number of respondents, typically to gather information on public opinions, behaviors, or characteristics.

Placebos

Substances with no therapeutic effect that are used as a control in testing new drugs or sometimes to produce a psychological benefit.