Question

A primitiva F(x) da f(x) = (7x – 8)²  é igual a:

Answer 1

Um forma de se fazer:

$f(x)=(7x-8)^2=49x^2-112x+64$

$F(x)=\int\limits{49x^2-112x+64} \, dx=\int\limits{49x^2} \, dx-\int\limits{112x} \, dx+\int\limits{64} \, dx$

$F(x)=\frac{49x^3}{3}-112\frac{x^2}{2}+64x+c$

$F(x)=\frac{49x^3}{3}-66x^2+64x+c$


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