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Clash Royale CLAN TAG #URR8PPP up vote 0 down vote favorite 1 $$int_0^1 (1+(x^-p-1)^1-p)^frac1pdx, pin mathbbR, pge 1$$ I find that $x=0,1$ are singular points(discontinuous points of this integral), is there a way to eliminate those singular points to make sure that this integral can be calculated by hand or by Taylor approximations. In either cases, what are those steps of calculating the integral? calculus real-analysis analysis approximation share | cite | improve this question edited Sep 11 at 5:07 asked Sep 11 at 4:48 Mclalalala 126 8 1 What is $p$? Please give more information to make it complete. – xbh Sep 11 at 5:02 @xbh already fixed it, thanks for reminding. – Mclalalala Sep 11 at 5:10 Seems that $0$ is not singular here… [I might compute wrong] – xbh Sep 11 at 5:30 @xbh can you show me how to get the close formula for the integral above? – Mclalalala Sep 11 at 5:33

up vote 0 down vote favorite My code workes perfectly for other queries, but for one query I am infinitely getting the same tweet. I can't understand what the problem is. API call: query='Allergic asthma OR Nonallergic asthma OR Occupational asthma OR EIB OR Exercise-induced bronchoconstriction OR Nocturnal asthma OR Cough-variant asthma' new_tweets = api.search(q=searchQuery, count=100, since_id=since_id, lang='en',tweet_mode='extended') if not new_tweets: print("No more tweets found") break for tweet in new_tweets: if True: print(jsonpickle.encode(tweet._json, unpicklable=False)) my_file = open('searchTweets.txt','a') my_file.write(jsonpickle.encode(tweet._json, unpicklable=False)+'n') my_file.close() else: continue Output in file: https://pastebin.com/JmRCsTeE These are the JSONs of the same Tweet. Other queries that work: Breast cancer OR Prostate cancer OR Colon cancer OR Lung cancer Type 2 dia

Clash Royale CLAN TAG #URR8PPP up vote 0 down vote favorite Solve: $(3xy-2ay^2)dx+(x^2-2axy)dy=0$ The given differential equation is not exact. The given differential equation is homogeneous. Therefore, $I.F=frac1Mx+Ny$ $=frac1(3xy-2ay^2)x+(x^2-2axy)y$ $=frac1xy(4x-4ay)$ With Integrating Factor of this form (ugly value), it is difficult to compute further integration, that is involved in solving the equation. So, can we not solve the equation using the rule: If in the differential eqn $Mdx+Ndy=0$, provided $ Mx+Ny ne 0$, andM and N ar eboth homogeneous then $I.F=frac1Mx+Ny$ differential-equations share | cite | improve this question edited Aug 8 at 9:19 asked Aug 8 at 9:13 Soumee 626 2 13 put $y=vx,$ ............. – Magneto Aug 8 at 9:44 add a comment  |  up vote 0 down vote favorite Solve: $(3xy-2ay^2)dx+(x^2-2axy)dy=0$ The given differential equation is not exact. The given differential eq