Evaluate the Integral by Making a Substitution (Possibly Trigonometric) and Then

question 89

Multiple Choice

Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
- $$\int _ { 0 } ^ { 1 } 5 \sqrt { x ^ { 2 } + 1 } d x$$

• A) \(\frac { 5 } { 2 } [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• B) \(5 [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• C) \(\sqrt { 2 } + \ln ( \sqrt { 2 } + 1 )\)
• D) \(5 [ \sqrt { 2 } - \ln ( \sqrt { 2 } + 1 ) ]\)

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