Find the value of \(\int \sqrt{4x^2+4x+5} dx\).

Post by **answerhappygod** » Thu Jul 14, 2022 9:29 am

a) \(2\left [\frac{1}{2} (x+\frac{1}{2}) \sqrt{{(x+\frac{1}{2})^2+1)}}\right ]+ln⁡\left [(x+\frac{1}{2})+\sqrt{(x+\frac{1}{2})^2+1} \right ]\)
b) \(2\left [\frac{1}{2} \sqrt{(x+\frac{1}{2})^2+1)}\right ]+\frac{1}{2} ln⁡\left [(x+\frac{1}{2})+\sqrt{(x+\frac{1}{2})^2+1} \right ]\)
c) \(2\left [\frac{1}{2} (x+\frac{1}{2}) \sqrt{(x+\frac{1}{2})^2+1)}\right ]+\frac{1}{2} ln⁡\left [(x+\frac{1}{2})+\sqrt{(x+\frac{1}{2})^2+1} \right ]\)
d) \(2\left [(x+\frac{1}{2}) \sqrt{{(x+\frac{1}{2})^2+1)}}\right ]+\frac{1}{2} ln⁡\left [(x+\frac{1}{2})+\sqrt{(x+\frac{1}{2})^2+1} \right ]\)

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