{"id":506,"date":"2009-01-03T13:12:39","date_gmt":"2009-01-03T12:12:39","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=506"},"modified":"2010-02-01T11:59:06","modified_gmt":"2010-02-01T10:59:06","slug":"integral-of-the-week-3","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=506","title":{"rendered":"Integral of the week #5"},"content":{"rendered":"

I’ve not done one of these for a while. Calculate the following indefinite integral.<\/p>\n

\" \light \int W \left(\frac{1}{x} \right) \, dx\"<\/p>\n

Where the W stands for the Lambert W function<\/a>.<\/p>\n

Full disclosure<\/strong>: I know the result and have verified it by differentiating but I don’t know how to obtain it.<\/p>\n

Update: <\/strong>The solution has been posted here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

I’ve not done one of these for a while. Calculate the following indefinite integral. Where the W stands for the Lambert W function. Full disclosure: I know the result and have verified it by differentiating but I don’t know how to obtain it. Update: The solution has been posted here.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,21],"tags":[],"class_list":["post-506","post","type-post","status-publish","format-standard","hentry","category-general-math","category-problem-of-the-week"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-8a","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/506","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=506"}],"version-history":[{"count":14,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/506\/revisions"}],"predecessor-version":[{"id":979,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/506\/revisions\/979"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}