Example 19 - Find integration x ex dx - Chapter 7 CBSE - Integration by parts

Example 19 - Chapter 7 Class 12 Integrals - Part 2

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Transcript

Example 19 Find ﷮﷮𝑥﷯ 𝑒﷮𝑥﷯𝑑𝑥 ﷮﷮𝑥﷯ 𝑒﷮𝑥﷯𝑑𝑥 Using ILATE, we take First function :- 𝑓 𝑥﷯=𝑥 Second function :- g 𝑥﷯= 𝑒﷮𝑥﷯ ﷮﷮𝑥﷯ 𝑒﷮𝑥﷯𝑑𝑥=𝑥 ﷮﷮ 𝑒﷮𝑥﷯𝑑𝑥﷯− ﷮﷮ 𝑑𝑥﷮𝑑𝑥﷯ ﷮﷮ 𝑒﷮𝑥﷯𝑑𝑥﷯﷯﷯𝑑𝑥 = 𝑥 𝑒﷮𝑥﷯− ﷮﷮1﷯. 𝑒﷮𝑥﷯ 𝑑𝑥 = 𝑥 𝑒﷮𝑥﷯− 𝑒﷮𝑥﷯+𝐶

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.