To find the integral of equations or variables in the form eˣ, use the following rule.

Integrate variables in the form aˣ using the exponentials rule. Integrate 2 functions multiplied together by parts; for u, choose the function that is simpler when differentiated.

Integrate variables in the form lnx using integration by parts: ∫ u (dv/dx) dx = uv − ∫ v (du/dx) dx. Let dv/dx = 1 and u = the variable in the form lnx.

Integrate logarithmic functions using integration by parts: ∫ u (dv/dx) dx = uv − ∫ v (du/dx) dx. Let dv/dx = 1 and u = the logarithmic function.

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