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Aus Online Mathematik Brückenkurs 2

If we multiply the factors in the integrand together and use the power laws,

e2xex+1dx=e2xex+e2xdx=e2x+x+e2xdx=e3x+e2xdx

we obtain a standard integral with two terms of the type eax, where a is a constant. The indefinite integral is therefore

e3x+e2xdx=3e3x+2e2x+C

where C is an arbitrary constant.