Subjects/Calculus II/Substitution method/Frequent patternsSection 4.3Frequent patternsFormulaCopy LaTeX∫g(x)g′(x)dx=ln∣g(x)∣+CView detail →FormulaCopy LaTeX∫eg(x)g′(x)dx=eg(x)+CView detail →FormulaCopy LaTeX∫[g(x)]ng′(x)dx=n+1[g(x)]n+1+C,n=−1n=−1View detail →FormulaCopy LaTeX∫a2+[g(x)]2g′(x)dx=a1arctan(ag(x))+C,a>0a>0View detail →FormulaCopy LaTeX∫a2−[g(x)]2g′(x)dx=arcsin(ag(x))+C,a>0a>0View detail →