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Category: Integration

2x-5-x-3-1-x-3-4x-dx-

Question Number 86039 by ar247 last updated on 26/Mar/20 $$\int\frac{\mathrm{2}{x}^{\mathrm{5}} −{x}^{\mathrm{3}} −\mathrm{1}}{{x}^{\mathrm{3}} −\mathrm{4}{x}}{dx} \\ $$ Commented by abdomathmax last updated on 27/Mar/20 $${A}\:=\int\:\:\frac{\mathrm{2}{x}^{\mathrm{2}} \left({x}^{\mathrm{3}} −\mathrm{4}{x}\right)+\mathrm{7}{x}^{\mathrm{3}}…

dx-2-4-

Question Number 86034 by ar247 last updated on 26/Mar/20 $$\int\frac{{dx}}{\:\sqrt{×^{\mathrm{2}} +\mathrm{4}}} \\ $$ Answered by TANMAY PANACEA. last updated on 26/Mar/20 $${x}=\mathrm{2}{tana}\:\:\frac{{dx}}{{da}}=\mathrm{2}{sec}^{\mathrm{2}} {a} \\ $$$$\int\frac{\mathrm{2}{sec}^{\mathrm{2}}…

Find-the-surface-area-of-a-solid-that-is-common-part-of-two-cylinders-x-2-y-2-a-2-y-2-z-2-a-2-Compute-the-volume-also-

Question Number 20471 by ajfour last updated on 27/Aug/17 $${Find}\:{the}\:{surface}\:{area}\:{of}\:{a}\:{solid} \\ $$$${that}\:{is}\:{common}\:{part}\:{of}\:{two} \\ $$$${cylinders}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={a}^{\mathrm{2}} ,\:{y}^{\mathrm{2}} +{z}^{\mathrm{2}} ={a}^{\mathrm{2}} . \\ $$$$\boldsymbol{{Compute}}\:\boldsymbol{{the}}\:\boldsymbol{{volume}}\:\boldsymbol{{also}}. \\ $$ Commented…

dx-sin-4-x-cos-4-x-

Question Number 20468 by tammi last updated on 27/Aug/17 $$\int\frac{{dx}}{\mathrm{sin}\:^{\mathrm{4}} {x}−\mathrm{cos}\:^{\mathrm{4}} {x}} \\ $$ Answered by ajfour last updated on 27/Aug/17 $$−\int\mathrm{sec}\:\mathrm{2}{xdx}=−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid\mathrm{sec}\:\mathrm{2}{x}+\mathrm{tan}\:\mathrm{2}{x}\mid+{C}\:. \\ $$ Terms…