Set Up an Integral for the Length of the Curve $$x = y ^ { 2 } + 5 y , 0 \leq y \leq 5$$

question 200

Multiple Choice

Set up an integral for the length of the curve.
- $$x = y ^ { 2 } + 5 y , 0 \leq y \leq 5$$

• A) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 10 y + 25 } d y\)
• B) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 20 y + 26 } d y\)
• C) \(\int _ { 0 } ^ { 5 } \sqrt { 2 y + 6 } d y\)
• D) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 26 } d y\)

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