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Category: Integration

plz-solve-this-my-handsome-guys-and-sisters-complex-integral-e-it-1-t-2-dt-

Question Number 75742 by Gazella thomsonii last updated on 16/Dec/19 $$\mathrm{plz}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{my}\:\mathrm{handsome}\:\mathrm{guys}\:\mathrm{and}\:\mathrm{sisters}… \\ $$$$\mathrm{complex}\:\mathrm{integral}\:\int_{−\infty} ^{+\infty} \:\frac{{e}^{\boldsymbol{{i}}{t}} }{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}\mathrm{d}{t} \\ $$ Terms of Service Privacy Policy Contact:…

Question-10188

Question Number 10188 by ridwan balatif last updated on 29/Jan/17 Commented by ridwan balatif last updated on 29/Jan/17 $$\int\sqrt{\mathrm{1}−\mathrm{tan}^{\mathrm{2}} \mathrm{2x}+\mathrm{tan}^{\mathrm{4}} \mathrm{2x}−\mathrm{tan}^{\mathrm{6}} \mathrm{2x}+…}\mathrm{dx}=…? \\ $$$$\mathrm{1}−\mathrm{tan}^{\mathrm{2}} \mathrm{2x}+\mathrm{tan}^{\mathrm{4}}…

I-0-x-a-2-b-2-x-2a-2-x-2-2b-2-dx-a-2-x-2-b-2-2-a-2-b-2-x-a-2-x-2-b-2-

Question Number 141244 by ajfour last updated on 17/May/21 $${I}=\int_{\mathrm{0}} ^{\:\infty} \frac{{x}\left\{\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right){x}−\mathrm{2}{a}^{\mathrm{2}} {x}^{\mathrm{2}} −\mathrm{2}{b}^{\mathrm{2}} \right\}{dx}}{\left({a}^{\mathrm{2}} {x}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)^{\mathrm{2}} \left\{\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right){x}+{a}^{\mathrm{2}} {x}^{\mathrm{2}} +{b}^{\mathrm{2}}…