I have this question in a quiz for uni: They show the exact same question in my lecture notes equalling: 1/2 e^x^2 + C , though im confused on how they get rid of the x in front: xe^x^2 any help would be appreciated
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Originally Posted by sterps I have this question in a quiz for uni: They show the exact same question in my lecture notes equalling: 1/2 e^x^2 + C , though im confused on how they get rid of the x in front: xe^x^2 any help would be appreciated Let , then Then I don't know of a way to do this using integration by parts because can't be done exactly. -Dan
You can do this without needing to integrate. Just differentiate (a) through (d), one of these derivatives will be the integrand, and that will be the correct solution. RonL
Originally Posted by CaptainBlack You can do this without needing to integrate. Just differentiate (a) through (d), one of these derivatives will be the integrand, and that will be the correct solution. RonL Yes, but that doesn't help integrating techniques much
Originally Posted by Jameson Yes, but that doesn't help integrating techniques much It does if it teaches the student that they are allowed to spot the derivative under the integral sign, or to use the fundamental theorem where they might not have thought of it. RonL
And solving the problem backwards is always a good trick to have when doing multiple choice tests. -Dan
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