Question: orgia's College C.Precalculus Section...What is Python? Exe...5 Reasons Why Pyth..Top 10 programmin...What is Python Use.12 Reasons Why??????e2xsin(2x)dxNotice that this is an integration by parts problem
orgia's College C.Precalculus Section...What is Python? Exe...5 Reasons Why Pyth..Top 10 programmin...What is Python Use.12 Reasons Why??????e2xsin(2x)dxNotice that this is an integration by parts problem in which you are required to do integration by parts twice and then do some algebra to get the answer.To get started recall the differential form of the integration by parts formula used in the bookudv=uv-vduIn order to get started you need to choose values for u and du. The values you choose will determine how to proceed.u=e2xoru=sin(2x)If you choose u=e2x then you will havedu=dxdv=Inserting these expressions in the integration by parts formula and simplifying you obtaine2xsin(2x)dxe2xcos(2x)dxNext we need to do integration by parts again and, ignoring all the other terms, the integral you need to evaluate is
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