Subjects/Calculus II/Trigonometric substitution and quadratic radicals/Fundamental formsSection 7.4Fundamental formsFormulaCopy LaTeX∫a2−x2dx=arcsin(ax)+C,∣x∣<a∣x∣<aView detail →FormulaCopy LaTeX∫a2+x2dx=a1arctan(ax)+C,a>0a>0View detail →FormulaCopy LaTeX∫xx2−a2dx=a1arcsecax+C,∣x∣>a>0∣x∣>a>0View detail →FormulaCopy LaTeX∫x2+a2dx=lnx+x2+a2+CView detail →FormulaCopy LaTeX∫x2−a2dx=lnx+x2−a2+CView detail →