[EN/2006] Cálculo 1: Integral

Seja a e b constantes reais positivas, $svg.image?a&space;\neq&space;b$ . Se x é uma variável real, então $svg.image?\int&space;\frac{\left&space;(&space;a^x&space;-&space;b^x&space;\right&space;)^2}{a^xb^x}&space;dx$ é

$svg.image?A)&space;\quad&space;(\ln&space;a&space;-&space;\ln&space;b)&space;\left&space;(&space;\frac{a^x}{b^x}&space;-&space;\frac{b^x}{a^x}&space;\right&space;)&space;-&space;2x&space;+&space;c$

$svg.image?B)&space;\quad&space;(\ln&space;b&space;-&space;\ln&space;a)&space;\left&space;(&space;\frac{a^x}{b^x}&space;-&space;\frac{b^x}{a^x}&space;\right&space;)&space;-&space;2x&space;+&space;c$

$svg.image?C)&space;\quad&space;\frac{1}{(\ln&space;a&space;-&space;\ln&space;b)}&space;\left&space;(&space;\frac{a^x}{b^x}&space;-&space;\frac{b^x}{a^x}&space;\right&space;)&space;-&space;2x&space;+&space;c$

$svg.image?D)&space;\quad&space;\frac{a^x}{b^x}&space;-&space;\frac{b^x}{a^x}&space;-&space;2x&space;+&space;c$

$svg.image?E)&space;\quad&space;\frac{1}{(\ln&space;b&space;-&space;\ln&space;a)}&space;\left&space;(&space;\frac{a^x}{b^x}&space;-&space;\frac{b^x}{a^x}&space;\right&space;)&space;-&space;2x&space;+&space;c$

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