Find the indefinite integral

Question

Find the indefinite integral (for x>0x>0) on the domain of positive real numbers.

 

Remember to include a "+ C" if appropriate.

 

Enclose arguments of functions in parentheses. For example, sin(2x)sin2x. To enter a−−√a, type sqrt(a).

∫((15⁄x) - (10⁄9√x)) dx=

Answer 1

You need two antiderivatives:

∫(dx/x)=ln x

and ∫(dx/sqrt(x) = 2 sqrt(x)

With those antiderivatives you should be able to answer the question.

BTW, why does it matter that you should consider only the interval x>0?