Exercise
$\int_1^33\sqrt{x^2+x}dx$
Step-by-step Solution
Final answer to the exercise
$3\left(\frac{1}{2}\sqrt{\left(3+\frac{1}{2}\right)^2-\frac{1}{4}}\cdot \left(3+\frac{1}{2}\right)+\frac{1}{8}\ln\left|2\cdot 3+1+2\sqrt{\left(3+\frac{1}{2}\right)^2-\frac{1}{4}}\right|-\frac{1}{4}\ln\left|2\cdot 3+1+2\sqrt{\left(3+\frac{1}{2}\right)^2-\frac{1}{4}}\right|-\left(\frac{1}{2}\sqrt{\left(1+\frac{1}{2}\right)^2-\frac{1}{4}}\cdot \left(1+\frac{1}{2}\right)+\frac{1}{8}\ln\left|2\cdot 1+1+2\sqrt{\left(1+\frac{1}{2}\right)^2-\frac{1}{4}}\right|-\frac{1}{4}\ln\left|2\cdot 1+1+2\sqrt{\left(1+\frac{1}{2}\right)^2-\frac{1}{4}}\right|\right)\right)$