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

question 52

Multiple Choice

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

• 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) \(- \frac { \cos x } { x ^ { 2 } + 1 }\)
• G) \(\frac { \cos x } { 2 x }\)
• H) \(- \frac { \cos x } { 2 x }\)

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