integration help!!! Watch

roshi
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#1
Report Thread starter 10 years ago
#1
hey guys im stuck on these two questions and really need help
find the following indefinite integrals
1) e^2x arcsin(e^x) dx
2) (x^2)/(1+x^2)
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yusufu
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#2
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x^2/(1 + x^2) = (1 + x^2 - 1)/(1 + x^2) = 1 - 1/(1+x^2)
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Glutamic Acid
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#3
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#3
(1) Start with integration by parts.
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Swayum
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#4
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1) Substitute e^x = sin(u)
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roshi
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#5
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yusufu how did you get from
x^2/(1 + x^2) = (1 + x^2 - 1)/(1 + x^2)
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insparato
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#6
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What does 1 + x^2 -1 equal ?
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roshi
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#7
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#7
x^2, sorry stupid question but then how would i integrate 1/(1+x^2)?
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roshi
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#8
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is it ok if anyone could help me on question 1 pls?
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yusufu
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#9
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#9
substitute tanx = u
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roshi
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#10
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#10
ive done that but am not getting it, is it ok if you could show me how to do it as i maybe doing it wrong, thanks
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insparato
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#11
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#11
Post your working and then we can see where you're going wrong.
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roshi
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#12
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#12
im not too sure how to use tan x for the substitution and thats why i dont know how to do it, so is it possible if you could show me how to do it, thanks
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