# Integration ( Integrate ) by Parts and Substitution : âˆ«e^(-2x) sin2xdx

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Please evaluate the following integral using the formula for integration by parts,

âˆ«udv = uv - âˆ«vdu

âˆ«e^(-2x) sin2xdx

Please show detailed solution, including substitution(s) used.

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#### Solution Preview

Please see attached for detailed solution.

Evaluate the following integral using integration by parts and the formula:

âˆ«udv = uv - âˆ«vdu

âˆ« xÂ³ cos2x dx ...

#### Solution Summary

An integral is found by substitution and parts. The solution is detailed and well presented.

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