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Question Number 54102 by gunawan last updated on 29/Jan/19
the absolute value  ∫_(10) ^(19) ((cos x)/(1+x^8 )) dx is...
$$\mathrm{the}\:\mathrm{absolute}\:\mathrm{value} \\ $$$$\int_{\mathrm{10}} ^{\mathrm{19}} \frac{\mathrm{cos}\:{x}}{\mathrm{1}+{x}^{\mathrm{8}} }\:{dx}\:\mathrm{is}… \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 29/Jan/19
from enclosed graph below it is clear that  ∫_(10) ^(19) ((cosx)/(1+x^8 ))dx≈0 because in the interval of x from 10  to 19  no area bounded by the curve...  comments of others experts welcomed...
$${from}\:{enclosed}\:{graph}\:{below}\:{it}\:{is}\:{clear}\:{that} \\ $$$$\int_{\mathrm{10}} ^{\mathrm{19}} \frac{{cosx}}{\mathrm{1}+{x}^{\mathrm{8}} }{dx}\approx\mathrm{0}\:{because}\:{in}\:{the}\:{interval}\:{of}\:{x}\:{from}\:\mathrm{10} \\ $$$${to}\:\mathrm{19}\:\:{no}\:{area}\:{bounded}\:{by}\:{the}\:{curve}… \\ $$$${comments}\:{of}\:{others}\:{experts}\:{welcomed}… \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 29/Jan/19
Commented by gunawan last updated on 29/Jan/19
thank you Sir  the answer is less than 10^(−6)   but i known′t  solution
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{Sir} \\ $$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{less}\:\mathrm{than}\:\mathrm{10}^{−\mathrm{6}} \\ $$$$\mathrm{but}\:\mathrm{i}\:\mathrm{known}'\mathrm{t}\:\:\mathrm{solution} \\ $$
Answered by rahul 19 last updated on 29/Jan/19
Commented by rahul 19 last updated on 29/Jan/19
Just replace sinx by cosx! ��
Commented by gunawan last updated on 29/Jan/19
thank you very much Sir
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much}\:\mathrm{Sir} \\ $$

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