When you need to apply a minor tweak to the document, it should not require much time to Integrate title release. This type of simple activity does not have to require additional training or running through manuals to understand it. With the proper document editing instrument, you will not spend more time than is necessary for such a quick change. Use DocHub to streamline your editing process regardless if you are a skilled user or if it’s your first time making use of a web-based editor service. This tool will require minutes or so to learn how to Integrate title release. The only thing required to get more productive with editing is a DocHub profile.
A simple document editor like DocHub will help you optimize the time you need to devote to document editing no matter your prior knowledge about such resources. Make an account now and improve your efficiency immediately with DocHub!
okay so in this video uh were going to go through some integration by parts examples um some are indefinite integrals some are definite integrals so a bit of a mixture uh just so we can get some practice so the first one x sine x so u will be the x and dv by dx will be the sine x so using the late rule here so du by dx will be 1 and the integral of dv by dx will be minus cosine of x okay so weve got uh u times v so minus x cosine of x take away the integral v du by dx so minus cosine x dx now weve got a minus sign there and a minus sign there so i can knock that one out and bring it into a plus so weve got minus x cosine of x and then the integral of cosine is sine and ive got that plus c constant of integration so x sine x dx integrates to minus x cosine x plus sine x plus c okay so thats the first one right lets have a look at number two weve got 2x cosine of 4x dx evaluated between 3 pi over 8 and 5 pi over 8. so the u will be the 2x the dv by dx will be cosine of 4x so du