Posted by mathstudent on .
Integrate x/(x^2 + 4) dx via trig substitution and by u=x^2+4 substitution. Show that results are equal.
Via trig substitution of x=2 *tan t, I get:
1/2 * tan^1 (x/2) + c
Via u = (x^2 + 4) substitution, I get:
1/2 * ln x^2 + 4 + c
How are these equal?

calculus 
mathstudent,
sorry. posted too quickly. got the answer.
Via trig substitution answer comes to:
lnsqrt(x^2+4)/2 + c
which is the same as the other answer 
calculus 
Damon,
Yes, good!