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Problem Let C C C x = y 2 + 1 x=y^{2}+1 x = y 2 + 1 0 ≤ y ≤ 3 0\le y\le 3 0 ≤ y ≤ 3 C C C 3 2 37 \displaystyle \frac{3}{2}\sqrt{37} 2 3 37 3 2 37 + 1 4 ln ( 3 + 37 ) \displaystyle \frac{3}{2}\sqrt{37}+\frac14\ln\bigl(3+\sqrt{37}\bigr) 2 3 37 + 4 1 ln ( 3 + 37 ) 3 2 37 + 1 4 ln ( 6 + 37 ) \displaystyle \frac{3}{2}\sqrt{37}+\frac14\ln\bigl(6+\sqrt{37}\bigr) 2 3 37 + 4 1 ln ( 6 + 37 ) 3 2 37 + 1 2 ln ( 6 + 37 ) \displaystyle \frac{3}{2}\sqrt{37}+\frac12\ln\bigl(6+\sqrt{37}\bigr) 2 3 37 + 2 1 ln ( 6 + 37 ) Browse the problem library