Question

Evaluate the indicated integral.

Answer 1

http://assets.openstudy.com/updates/attachments/518d5849e4b062a8d1da25a0-onegirl-1368217681178-untitled4.jpg

Answer 2

let u = x^2 + 4 ----> du = 2x dx

= \[1/2 \int\limits_{}^{} \frac{ du }{ u }\]

Answer 3

integrate for u and plug u = x^2 + 4 back in

Answer 4

\[Let I =\int\limits_{}^{}\frac{ x }{ x ^{2}+4 }dx=\frac{ 1 }{2 }\int\limits_{}^{}\frac{ 2xdx }{ x ^{2}+4 }\]
\[I=\frac{ 1 }{ 2 }\ln \left( x ^{2}+4 \right)+c\]

Answer 5

okay i did it wrong before i got log(x) + c but okay