\( \int \operatorname { ascc } 5 x \tan 5 x d x \)

To evaluate the integral \( \int \operatorname{ascc} 5x \tan 5x \, dx \), you can apply integration by parts. Let \( u = \operatorname{ascc}(5x) \) so that \( dv = \tan(5x) \, dx \). First, remember the derivative of \( \operatorname{ascc}(x) \) and the integral of \( \tan(k x) \) can help. Also, keep in mind that you'll need to express the integral in terms of a more manageable function before combining everything back together in the final result. For practical purposes, ensure to check your trigonometric identities and integration formulas to avoid common mistakes when differentiating or integrating \( \tan(5x) \). The result can often be simplified with further manipulations.