Find the Indefinite Integral by Making the Substitution $x = 7 \tan \theta$

question 11

Multiple Choice

Find the indefinite integral by making the substitution $x = 7 \tan \theta$ $$\int \frac { x ^ { 3 } } { \sqrt { 49 + x ^ { 2 } } } d x$$

• A) \(\frac { \sqrt { 49 + x ^ { 2 } } \left( x ^ { 2 } - 49 \right) } { 3 } + C\)
• B) \(\frac { \sqrt { 49 + x ^ { 2 } } \left( 98 - x ^ { 2 } \right) } { 3 } + C\)
• C) \(\frac { 2 \sqrt { 49 + x ^ { 2 } } \left( x ^ { 2 } - 49 \right) } { 3 } + C\)
• D) \(\frac { \sqrt { 49 + x ^ { 2 } } \left( x ^ { 2 } - 98 \right) } { 3 } + C\)
• E)\(\frac { 2 \sqrt { 49 + x ^ { 2 } } \left( x ^ { 2 } - 98 \right) } { 3 } + C\)

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