Activity Streams

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 […]

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 = […]

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 […]

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, […]