anonymous
  • anonymous
can someone check and see if this is right?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\int\limits_{?}^{?}(1+4x)/(\sqrt{1+x+2x ^{2}}dx\]
anonymous
  • anonymous
i got \[.5\ln \left| \sqrt{1+x+2x ^{2}} \right| +c\]
Rogue
  • Rogue
\[u = 1 + x + 2x^2, du = (1 + 4x) dx\]

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anonymous
  • anonymous
it looks wrong
Rogue
  • Rogue
There is no log. Instead it is \[2 \sqrt{ 1 + x +2x^2}\]
anonymous
  • anonymous
why could you not use ln
Rogue
  • Rogue
well, the integral becomes \[\int\limits_{}^{} \frac {du}{u^.5}\]
Rogue
  • Rogue
\[\int\limits_{}^{} = u^{-.5}du\]
anonymous
  • anonymous
\[\int\limits \frac{f'(x)}{f(x)}dx=lnf(x)\]
Rogue
  • Rogue
oops. There isn't supposed to be an equal sign in the integral.
anonymous
  • anonymous
ok i think i got it
Rogue
  • Rogue
Alright, just the use power rule for integration to solve.
anonymous
  • anonymous
thanks

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