anonymous
  • anonymous
please help me solve these using u substitution ( please show the workings) 1. e^x(root(1+e^x)) 2.xtan(x^2) 3 sin(rootx)/rootx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Are you looking to take a derivative?
anonymous
  • anonymous
My guess would be the integral
anonymous
  • anonymous
please integrate them through u subs

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anonymous
  • anonymous
OK, which one are u doing tbates?
anonymous
  • anonymous
the second one I have
lalaly
  • lalaly
1. u = 1+e^x du = e^x dx so \[\int\limits{\sqrt{u}du}\]
lalaly
  • lalaly
2. u= x^2 du= 2xdx \[\frac{1}{2} \int\limits{tanu du}\]
anonymous
  • anonymous
On the second one set u=x^2 du = 2x dx du/2=2xdx Sub in: tan(u)/2 du The integral of tan(u)/2 -(1/2)ln|cos u| + C Plug back in for x -(1/2)ln|cos x^2| + C
anonymous
  • anonymous
thanx guys and number 3?
lalaly
  • lalaly
u= sqrtx du = 1/(2sqrtx) \[2 \int\limits{sinu du}\]

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