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Question-86627




Question Number 86627 by Omer Alattas last updated on 29/Mar/20
Commented by abdomathmax last updated on 29/Mar/20
x→((tanx)/(1+x^2  +x^4 )) is odd ⇒∫_(−1) ^1  ((tanx)/(1+x^2  +x^4 ))dx=0
$${x}\rightarrow\frac{{tanx}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} }\:{is}\:{odd}\:\Rightarrow\int_{−\mathrm{1}} ^{\mathrm{1}} \:\frac{{tanx}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} }{dx}=\mathrm{0} \\ $$
Commented by Omer Alattas last updated on 29/Mar/20
i know this mathod
$${i}\:{know}\:{this}\:{mathod} \\ $$$$ \\ $$
Commented by Omer Alattas last updated on 29/Mar/20
 thanks anyway
$$\:{thanks}\:{anyway} \\ $$
Answered by Omer Alattas last updated on 29/Mar/20
with  out ∫f(x)dx=∫f(−x)dx whin x [−a,a]
$${with}\:\:{out}\:\int{f}\left({x}\right){dx}=\int{f}\left(−{x}\right){dx}\:{whin}\:{x}\:\left[−{a},{a}\right] \\ $$
Commented by mathmax by abdo last updated on 29/Mar/20
why doing calculus if the result is 0
$${why}\:{doing}\:{calculus}\:{if}\:{the}\:{result}\:{is}\:\mathrm{0} \\ $$

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