Evaluate Integral: (1/2(x)^2)(tan^-1x)+(-9cosx)+(x)

[sapiental]

evaluate the integral ((x/1+x^2)+9sinx+(1/lnx))

solution:

integral ((x)(1/1+x^2)+9sinx+(1/lnx))

= (1/2(x)^2)(tan^-1x)+(-9cosx)+(x)


am I close? Thanks!

 

[StatusX]

Is that:

\int \left( \frac{x}{1+x^2} + 9 \sin x + \frac{1}{\ln x} \right) dx

? If so, that's just three questions in one, since you can break it up into the sum of the integrals of the three terms. The first and second are easy (use substitution on the first), but the last doesn't have a nice closed form.