Sep 27, 2013 · My HW asks me to integrate $\\sin(x)$, $\\cos(x)$, $\\tan(x)$, but when I get to $\\sec(x)$, I'm stuck.

Feb 27, 2019 · I cannot find what is the integral of a cumulative distribution function $$\\int G(\\xi)d\\xi$$ I think it should be simple, but I have no idea where else to look for it.

Jan 20, 2021 · $\begingroup$ "Answers to the question of the integral of 1x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real …

Thus, it cannot be integrated in finite elementary symbols, which is why any answer to the integral requires infinitely many symbols, or a new notation. However, I obviously used some heavy …

Jul 4, 2018 · Then the Leibniz formula becomes $$\frac{d}{dx}\left(\int_a^bf(x,t)dt\right)=\int_a^b\frac{\partial }{\partial x}f(x,t)dx $$ i.e. it is …

Logs and inverse trig functions, when part of a more complicated integral, tend to cause problems. By differentiating them, you get 'simpler' more algebraic expressions, because $$\frac{d}{dx}\ln …

Aug 20, 2014 · The integral is also known (less commonly) as the anti-derivative, because integration is the inverse of differentiation (loosely speaking). Integrals are indefinite when …

Well, $$\int\frac{2}{x+2} dx= 2\log(x+2)$$ So you have that part. But for: $$\int\frac{1-2x}{x^2 + 1} dx$$ You must further decompose this fraction into partial ...

Feb 21, 2018 · I was trying to do this integral $$\int \sqrt{1+x^2}dx$$ I saw this question and its' use of hyperbolic functions. I did it with binomial differential method since the given integral is …

Oct 9, 2011 · Countless times, I've seen students make sign errors in this type of integral that could have been avoided by organizing the computations according to these simple rules. …