anonymous
  • anonymous
how do you integrate e^(-sqrt(x))/(4 sqrt(x)) dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
very carefully :)
amistre64
  • amistre64
e^(-sqrt(x)) ---------- dx eh.... can we make a u sub and say... 4sqrt(x) u = sqrt(x) ?
anonymous
  • anonymous
yes i used u = -sqrt(x)

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amistre64
  • amistre64
du = 1/2sqrt(x) dx dx = du 2sqrt(x)
anonymous
  • anonymous
okay
amistre64
  • amistre64
2sqrt(x) e^-u du --------------- ....murmur 4u
anonymous
  • anonymous
now factor out 1/2?
amistre64
  • amistre64
still have that sqrt(x) hanging in there causing troubles
amistre64
  • amistre64
or can we simply equate that to a -u?
amistre64
  • amistre64
e^-u du ----------- then right? 2
anonymous
  • anonymous
wait what?
amistre64
  • amistre64
2sqrt(x) = 2u right? since u = sqrt(x)
anonymous
  • anonymous
right
amistre64
  • amistre64
2u 1 -- = -- if its doable 4u 2
anonymous
  • anonymous
okay
amistre64
  • amistre64
then all we are missing is a -1 to integrate with.... so I propose this set up: -(1/2) [S] -e^-u du
amistre64
  • amistre64
which integrates to: -e^-u ------ +C lets check that thought and see if it works 2
amistre64
  • amistre64
-e^-sqrt(x) --------- derives to what? 2
amistre64
  • amistre64
- 1 -e^-sqrt(x) ------- * -------------- looks good to me 2sqrt(x) 4
anonymous
  • anonymous
thanks
amistre64
  • amistre64
i got lucky lol ;) youre welcome
anonymous
  • anonymous
I just did this problem yesterday for calc, I was going to help but Amitre is far better at explaining then I am.
anonymous
  • anonymous
:) hey bobby
amistre64
  • amistre64
:) i just winged it; threw what i had at it to see what stuck ;)
anonymous
  • anonymous
Woah who is this??
anonymous
  • anonymous
lols chelsea
anonymous
  • anonymous
fādāi means day dream in chinese

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