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Category: Integration

let-f-x-0-sin-xt-2-1-t-4-1-dt-1-find-a-explicit-form-of-f-x-2-let-g-x-0-t-2-cos-xt-2-1-t-4-1-dt-find-a-explicit-form-of-g-x-3-calculate-0-sin-

Question Number 57237 by maxmathsup by imad last updated on 31/Mar/19 letf(x)=0+sin(xt21)t4+1dt1)findaexplicitformoff(x)$$\left.\mathrm{2}\right)\:{let}\:{g}\left({x}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{t}^{\mathrm{2}} \:{cos}\left({xt}^{\mathrm{2}} −\mathrm{1}\right)}{{t}^{\mathrm{4}} \:+\mathrm{1}}\:{dt}…