】 19:58 An amazing integration result Lobachevsky's formula【一个惊人的积分结果罗巴切夫斯基公式】 12:10 Fastest way to integrate sinxx from zero to infty【从零到无穷大集成sinxx的最快方法】 02:09 Thank you for this wonderful integral【谢谢你这个精彩的积分】 10:24 不可能的积分和微分方程这是...
Integrate both sides with respect to rr from 00 to 11, ∫101−rn1−rdr=∫101+r+r2+⋯+rn−1dr=11r+12r2+13r3+⋯+1nrn∣∣∣10=11+12+⋯+1x−1+1x(4)∫011−rn1−rdr=∫011+r+r2+⋯+rn−1dr=11r+12r2+13r3+⋯+1nrn|01(4)=11+12+⋯+1x−1+1x This...
[a_,n_] := NIntegrate[Cos[x]/(Sqrt[Sin[2 x]]-a)^n, {x, 0, Pi/2}] In[73]:= Table[Table[g[a,n], {a, 1.1, 1.9, 0.1}], {n, 2, 7}] Out[73]= {{32.9421,11.0299,5.72111,3.5575,2.44612,1.79371,1.37567,1.09067,0.887118},{-256.666,-44.1755,-15.6109,-7...
Imagine walking into a restaurant where the menu automatically adjusts based on whether you’re in the mood for a quick bite or a full-course meal. If you’re in a hurry, it highlights the appetizers and daily specials. If you’re ready to indulge, it elegantly expands to showcase the ...
State the trigonometric substitution you would use to find the indefinite integral. Do not integrate. Integral of x^2(x^2 - 64)^(3/2) dx. Determine whether the following series converges or diverges. Integrate: \int \frac{1}{(x^4 +1)}dx Find the first 4 non-zero terms of the Mac...
The case is in steel water resistant to 50 meters with attractive polishing and, of course, lugs that integrate into the bracelet, which tapers from about 22mm-wide to 20mm-wide at the claps. Thanks to the EasyChange system, it is possible to to swap the strap or bracelet for an altern...
Jim Rawles: Yeah. Of course, if you buy wheat, which is the ideal way to store rather than flour. Flour only has about a three or four-year shelf life. Wheat can store for decades or even centuries. You’ve got to practice using those foods, and you’ve got to integrate them into...
A recent study by Manor and Borenstein described a bioinformatic framework, termed FishTaco (for functional shifts’ taxonomic contributors), to integrate taxonomic and functional information and determine contributions of individual species to functional shifts within the microbiome (Manor and Borenstein, ...
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? Ask Question Asked 12 years, 10 months ago Modified 4 months ago Viewed 236k times 555 $\begingroup$ How can one prove the statement $$\lim_{x\to 0}\frac{\sin x}x=1$$ without using the Taylor series of ...
Available in liquid, powder, or capsule form, Shilajit is versatile and can seamlessly integrate into either a morning or evening routine. A thorough understanding of the different consumption methods and recommended dosages is essential for maximising its effectiveness as a valuable natural energy sour...