A calculus problem by حسن العطية

Calculus Level 1

$\int _{ 0 }^{ 2 }{ \left( \sqrt { { x }^{ 2 }+4x+4 } \right) \, dx } = \, ?$

1 solution

حسن العطية
Apr 18, 2016

$\int _{ 0 }^{ 2 }{ \left( \sqrt { { x }^{ 2 }+4x+4 } \right) dx }$

$\int _{ 0 }^{ 2 }{ \left( \sqrt { { \left( x+2 \right) }^{ 2 } } \right) dx }$

$\int _{ 0 }^{ 2 }{ \left( x+2 \right) dx }$

${ | }_{ 0 }^{ 2 }\quad \frac { { x }^{ 2 } }{ 2 } +2x$

$\frac { { 2 }^{ 2 } }{ 2 } +2\times 2$

$2+4$

$\boxed{6}$

What does the little thing in front of the problem mean? 😐

Hew Jass - 5 years ago

Ha your name is so funny

Let me tell you a funny name: Hugh Janus

Krishna Karthik - 2 years, 2 months ago