Category: Integration

Question Number 26397 by abdo imad last updated on 25/Dec/17 $$find\int \frac{dx}{x\sqrt{1+x^2}}andcalculate{\int }_1^3\frac{dx}{x\sqrt{1+x^2}}$$ Commented by abdo imad last updated on 26/Dec/17…

Question Number 26396 by abdo imad last updated on 25/Dec/17 $$findthevalueof{\int }_0^1\frac{dx}{x^2+2x+5}.$$ Commented by abdo imad last updated on 26/Dec/17 $${let}\:{put}\:{I}=\:\int_{\mathrm{0}}…

Question Number 157456 by tounghoungko last updated on 23/Oct/21 $$\int 5^{3-2x}dx=?$$ Answered by FelipeLz last updated on 24/Oct/21 $$\int\mathrm{5}^{\mathrm{3}−\mathrm{2}{x}} {dx}\:=\:\mathrm{5}^{\mathrm{3}} \int\mathrm{5}^{−\mathrm{2}{x}} {dx} \…

Question Number 91914 by  M±th+et+s last updated on 03/May/20 $$hieveryonehereiwillputmysolution$$$$foroldquestionbymr.MJS$$$$\int \frac{\sqrt{(x-1)x(x+1)}}{3x^2-4}dx$$$$$$$$thesolutionbyusing$$$$Appellhypergeometricfunction$$ Answered by…

Question Number 157442 by bobhans last updated on 23/Oct/21 $$\int \frac{\mathrm{dx}}{\mathrm{x}-\sqrt{{\mathrm{x}}^2+2\mathrm{x}+2}}$$ Answered by MJS_new last updated on 23/Oct/21 $$\int \frac{dx}{x-\sqrt{x^2+2x+2}}=$$$$\:\:\:\:\:\left[{t}={x}+\mathrm{1}+\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2}}\:\rightarrow\:{dx}=\frac{\sqrt{{x}^{\mathrm{2}}…