MathematicsEasy210×since 2002Q3480The value of the integral \int_\limits{-1}^2 \log _e\left(x+\sqrt{x^2+1}\right) d x isA5−2+loge(7+451+2)\sqrt{5}-\sqrt{2}+\log _e\left(\frac{7+4 \sqrt{5}}{1+\sqrt{2}}\right)5−2+loge(1+27+45)B2−5+loge(7+451+2)\sqrt{2}-\sqrt{5}+\log _e\left(\frac{7+4 \sqrt{5}}{1+\sqrt{2}}\right)2−5+loge(1+27+45)C5−2+loge(9+451+2)\sqrt{5}-\sqrt{2}+\log _e\left(\frac{9+4 \sqrt{5}}{1+\sqrt{2}}\right)5−2+loge(1+29+45)D2−5+loge(9+451+2)\sqrt{2}-\sqrt{5}+\log _e\left(\frac{9+4 \sqrt{5}}{1+\sqrt{2}}\right)2−5+loge(1+29+45)Check answerSkip