$\int {{{\rm{e}}^x}\sin x{\rm{d}}x}  = {{\rm{e}}^x}\cos x - \int {{{\rm{e}}^x}\cos x{\rm{d}}x} .$

\(\int {{{\rm{e}}^x}\sin x{\rm{d}}x}  =  - {{\rm{e}}^x}\cos x + \int {{{\rm{e}}^x}\cos x{\rm{d}}x} .\)

\(\int {{{\rm{e}}^x}\sin x{\rm{d}}x}  = {{\rm{e}}^x}\cos x + \int {{{\rm{e}}^x}\cos x{\rm{d}}x} .\)

\(\int {{{\rm{e}}^x}\sin x{\rm{d}}x}  =  - {{\rm{e}}^x}\cos x - \int {{{\rm{e}}^x}\cos x{\rm{d}}x} .\)