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# Calc help....?

$=integration symbol

$(12x+2)/(3x^2+x)dx

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- PascalLv 71 decade agoFavorite Answer
No, $=dollar symbol. ∫=integration symbol.

Let u=3x²+x, du=6x+1 dx

∫(12x+2)/(3x²+x) dx

∫2/u du

2 ln |u| + C

2 ln |3x²+x| + C

- MsMathLv 71 decade ago
Substitution!

Let u = 3x^2 + x, then du = 6x+1 dx

Notice that 12x+2 = 2(6x+1)

Now substitute.

integral

= integral of (2/u) du

= 2ln(u) + C

= 2ln(3x^2 +x) + C

- Anonymous1 decade ago
using u substitutions

set u = 3x^2+x, then du = (6x+1)dx

so the integral becomes

2$du/u

=2 lnu + C

substituting u back in:

= 2 ln(3x^2 + x) + C

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