How do you integrate $int-12x^2(-4x^3+2)^-3$ using substitution?

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Answer 1 · 2016-08-16T00:58:56

$-1/(2(-4x^3 +2)^(2)) +C$

$int -12x^2(-4x^3 +2)^-3 dx$

Let $u=-4x^3 +2$

$(du)/dx = -12x^2$

$(du) = -12x^2 dx$

now we substitute
$int (u)^-3 du$

$-1/(2u^(2)) +C$

now we replace $u$

$-1/(2(-4x^3 +2)^(2)) +C$

How do you integrate int-12x^2(-4x^3+2)^-3int-12x^2(-4x^3+2)^-3 using substitution?