<p>If anyone can help with this one i would appreciate it</p>
<p>Find the value of the constant C for which the integral
*∫(1/√x²+4 - C/x+2) dx converges. Evaluate the integral for this value</p>
<p>*Intregral is from 0 to infinite</p>
<p>the x squared +4 is under a square root</p>
<p>The problem is very tricky and someone told me to use arctan and sec but i still cant figure it out</p>
<p>Thanks for your help</p>
<p>Find the antiderivative. You will get something in the form of ln(u)+C*ln(v), where u and v are functions of x. Then combine that into ln(w), where w is another function of x. If ln(w) converges, then w will converge as well (this is not necessarily true, however, just assume it for now and see if it works). When looking at the expression w, think about how limits work at infinity. The answer should be fairly intuitive.</p>
<p>Hope this helps.</p>