`int (x e^(2x))/(1 + 2x)^2 dx` Evaluate the integral

Expert Answers

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If f(x) and g(x) are differentiable functions, then


If we rewrite f(x)=u and g'(x)=v, then


Using the above method of integration by parts,

Let `u=xe^(2x)`






Let's integrate by the use of substitution method,

Let t=1+2x





substitute back t=1+2x,







Add a constant C to the solution,




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