Posted by **mathstudent** on Monday, December 31, 2007 at 3:52pm.

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?

## Answer this Question

## Related Questions

- calculus-integration! - should i use substitution?? if yes how should should i ...
- [Calculus] U-substitution for Integrals - Integrate from 1 to 5 of (3x-5)^5 dx...
- Calculus - s=dx/(4+5cos x). By using t-substitution, i.e. t=tan(x/2) we get ...
- Trigonometric Substitution - Trigonometric Substitution a. Explain why the ...
- Calculus - How to integrate dx/(4-5 sin x) using t-substitution method(i.e. ...
- Calculus - Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution...
- math - int 1/ (sq rt (4sec^2 x +4)) dx trigonometric substitution expression: sq...
- Math-Trigonometry - Show that if A, B, and C are the angles of an acute triangle...
- Calculus 2 - Evalute the integral of x/(x^2+4)dx using u-substitution and then ...
- calculus - We're doing indefinite integrals using the substitution rule right ...