Hi can someone please help me with this and explain how you get the answer.
find the integral of X/(sqrtX^2+4) dx
any help would be much appreciated.
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I assume you are given:
What do you think is a good candidate for a u-substitution?
yeah am not really sure where to start with this one.
i thought that u=sqrtx^2+4 which makes it x+4 correct?
Isn't the entire expression under the radical?
If so, then try:
Is there a way for us to manipulate the integral so that we have a inside the integral?
im sure there is but i cant figure it out at the min. must have missed the part of class where they explained this
Multiply by 2 inside and by 1/2 in front, for a net result of multiplying by 1. So that you have:
Now, using the aforementioned substitution, how may we write this?
think i have it 1/2 int 1/sqrt U du
so answer once you substitute back is sqrt(X^2+4.)+C
Yes, that is correct.
thank you for your help and patience !!!
Glad to help and glad you stuck it out!
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