Solve the Problem $( 0,3 )$ Whose Length Integral $0 \leq x \leq 1$

question 46

Multiple Choice

Solve the problem.
-Find a curve through the point $( 0,3 )$ whose length integral, $0 \leq x \leq 1$ , is $L = \int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 2 } } \mathrm { dx }$ .

• A) \(y = x ^ { 2 } + 3\)
• B) \(y = x\)
• C) \(y = x ^ { 2 }\)
• D) \(y = 2 x + 3\)

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