Question

Qual a integral de √2x+7 dx

Answer 1

$\int\limits^a_b { \sqrt{2x+7} } \, dx = \int\limits^a_b { (2x+7)^{ \frac{1}{2} } } \, dx = \frac{ (2x+7)^{ \frac{1}{2} + 1 } }{ \frac{1}{2} + 1 } = \frac{ (2x+7)^{ \frac{3}{2} } }{ \frac{3}{2} } = \frac{ 2(2x+7)^{ \frac{3}{2} } }3 }$