# indefinite integration involving atan

I need the indefinite integration of this: $$\int \left[1 + \cos\left(K + \arctan\left(\frac{a+bx\ }{c + dx\ }\right)\right) \right] dx$$

If it helps, we can turn the form above into the following one. Either you can solve. $$\int \left[1 + \cos\left(K + \arccos\left(\frac{A+Bx\ }{\sqrt(x^2+Cx+D)\ }\right)\right) \right] dx$$

By $$\sqrt {u}$$ I mean $$u^{0.5}$$

Thank you, Mahdi

• What have you attempted so far? Please show your work – DavidG Dec 9 at 3:35