
Student subscribed for course Calculus with Infinitesimals 5 months ago
Student Efrain Soto Apolinar subscribed for course Calculus with Infinitesimals

Efrain Soto Apolinar wrote a new item 5 months ago
The definitions corresponding to the hyperbolic functions was already given in the unit corresponding to the justification of the formulas for their derivatives. From those rules, the corresponding formulas to […]

Efrain Soto Apolinar wrote a new item 5 months ago
Antiderivative of the Natural Log Function
In this case the technique of Integration by parts works. To this end, define $u = ln v$ and therefore, $du = nicefrac{dv}{v}$.
Also, let $dw = dv$, so that $w = […] 
Efrain Soto Apolinar wrote a new item 5 months ago
In this unit some formulas to calculate the antiderivative of functions that include $a^2 + u^2$, $a^2 – u^2$ or $u^2 – a^2$ are deduced.
Antiderivative of $y = nicefrac{1}{(a^2 + u^2)}$
Rewrite the […]

Efrain Soto Apolinar wrote a new item 5 months ago
Antiderivative of the Arcsine function
Define $y = arcsin v$. Then, $v = sin y$. From this, it follows that $dv = cos y cdot dy$.
In order to calculate the antiderivative for the arcsine function, […]
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