Please check the questions here https://www.teachoo.com/4800/1287/Example-19---Find-integration-x-ex-dx---Chapter-7-CBSE/category/Integration-by-parts/
For e^x questions, please check https://www.teachoo.com/5061/1288/Ex-7.6--16---Integrate-ex-(sin-x---cos-x)---Class-12-NCERT/category/Integration-by-parts---e%5Ex-integration/
integral by parts method
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