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IntegrationQuestion and Answers: Page 194
Question Number 77447 Answers: 1 Comments: 0
$$\int\:\mathrm{tan}\left(\mathrm{x}\right)\:\mathrm{tan}\left(\mathrm{2x}\right)\:\mathrm{tan}\left(\mathrm{3x}\right)\:\mathrm{dx} \\ $$
Question Number 77424 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{\infty} {e}^{\left({e}^{{x}} −\mathrm{1}\right)^{{t}} \:\left({A}\right)} \:{dx} \\ $$$${A}\:{and}\:{t}\:{are}\:{constant} \\ $$
Question Number 77422 Answers: 1 Comments: 1
$$\mathrm{can}\:\mathrm{solve}\:\int\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{17}} −\mathrm{1}}\:\mathrm{via}\: \\ $$$$\mathrm{elementary}\:\mathrm{calculus}? \\ $$
Question Number 77335 Answers: 1 Comments: 4
Question Number 77323 Answers: 0 Comments: 2
Question Number 77290 Answers: 2 Comments: 3
$$\int\:\sqrt{\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{x}^{\mathrm{4}} }\:\:\mathrm{dx} \\ $$
Question Number 77269 Answers: 0 Comments: 1
$${what}\:{is}\:\int\:\frac{\mathrm{1}}{\mathrm{tan}\:^{\mathrm{3}} \left({x}^{\mathrm{2}} −\mathrm{1}\right)}\:{dx}\:? \\ $$
Question Number 77242 Answers: 1 Comments: 3
$${prove}\:{that} \\ $$$$\:\int_{\mathrm{0}} ^{{a}} \sqrt{\mathrm{2}+\frac{{a}}{{x}}−\mathrm{2}\sqrt{\frac{{a}}{{x}}}\:}{dx}={a}\left[\frac{\mathrm{1}}{\sqrt{\mathrm{2}}}{ln}\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)+\mathrm{1}\right] \\ $$
Question Number 77221 Answers: 2 Comments: 0
$$\int\:\frac{\sqrt{\mathrm{2}+{x}}\:{dx}}{\sqrt{{x}^{\mathrm{5}} }}\:=\:? \\ $$
Question Number 77158 Answers: 0 Comments: 4
$$\int_{−\mathrm{2}} ^{\:\mathrm{2}} \:\left(\mathrm{x}^{\mathrm{3}} \:\mathrm{cos}\frac{\mathrm{x}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right)\sqrt{\mathrm{4}\:−\:\mathrm{x}^{\mathrm{2}} }\:\:\mathrm{dx} \\ $$
Question Number 77103 Answers: 1 Comments: 1
Question Number 77089 Answers: 0 Comments: 2
$$\boldsymbol{{Cheap}}\:\downdownarrows \\ $$$$\int\sqrt{\frac{\boldsymbol{{x}}}{\sqrt{\frac{\boldsymbol{{x}}}{\sqrt{\frac{\boldsymbol{{x}}}{...}}}}}}\boldsymbol{{dx}} \\ $$$$ \\ $$$$ \\ $$
Question Number 77087 Answers: 1 Comments: 1
$$\int_{\mathrm{0}} ^{\frac{\boldsymbol{{a}}}{\mathrm{2}}} \boldsymbol{{x}}^{\mathrm{2}} \left(\boldsymbol{{a}}^{\mathrm{2}} −\boldsymbol{{x}}^{\mathrm{2}} \right)^{\frac{−\mathrm{3}}{\mathrm{2}}} \boldsymbol{{dx}} \\ $$$$\boldsymbol{{Help}}!!! \\ $$$$ \\ $$
Question Number 77086 Answers: 1 Comments: 2
$$\int_{\mathrm{0}} ^{\mathrm{1}} {xtan}^{−\mathrm{1}} {xdx} \\ $$$$ \\ $$
Question Number 77036 Answers: 0 Comments: 12
Question Number 77002 Answers: 2 Comments: 2
$$ \\ $$$${calculate}\:\int\:\frac{{dt}}{\mathrm{cos}\:\left(\mathrm{2}{t}+{a}\right)\mathrm{cos}\:\left(\mathrm{2}{t}−{a}\right)} \\ $$
Question Number 76958 Answers: 1 Comments: 1
$$\int{ln}\:{e}^{{y}} {dy} \\ $$
Question Number 76956 Answers: 1 Comments: 0
$$\underset{\:\:\mathrm{0}} {\overset{\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{a}}} {\int}}\:\:\:\frac{\boldsymbol{\mathrm{dx}}}{\sqrt{\left(\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{sinx}}\right)\left(\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{cosx}}\right)}}\:=? \\ $$$$\left[\boldsymbol{\mathrm{a}}\in\boldsymbol{\mathrm{R}}^{+} ,\boldsymbol{\mathrm{test}}\:\boldsymbol{\mathrm{for}}:\:\:\boldsymbol{\mathrm{a}}=\mathrm{1}\right] \\ $$
Question Number 76955 Answers: 0 Comments: 0
$$\int\:\:\frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{p}}} }{\sqrt{\mathrm{1}\pm\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{q}}} }}\:\boldsymbol{\mathrm{dx}}=?\:\:\:\:\left[\boldsymbol{\mathrm{p}}+\boldsymbol{\mathrm{q}}=\mathrm{2}\boldsymbol{\mathrm{n}}\in\boldsymbol{\mathrm{N}},\boldsymbol{\mathrm{p}}<\boldsymbol{\mathrm{q}}\right] \\ $$
Question Number 76954 Answers: 0 Comments: 0
$$\int\:\:\:\frac{\boldsymbol{\mathrm{dx}}}{\sqrt{\mathrm{1}+\boldsymbol{\mathrm{sinx}}.\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{x}}}}\:\:=? \\ $$
Question Number 76920 Answers: 0 Comments: 1
$${how}\:{can}\:{i}\:{solve}\: \\ $$$$\int\:\frac{\mathrm{sin}\:{x}\:{dx}}{{x}^{\mathrm{2}} \:{e}^{{x}} }\:?\:{can}\:{using}\:{elementary} \\ $$$${calculus}? \\ $$
Question Number 76913 Answers: 1 Comments: 0
Question Number 76910 Answers: 1 Comments: 1
Question Number 76892 Answers: 3 Comments: 0
$$\mathcal{C}{alculate}\:\int\:\frac{\sqrt{\mathrm{9}−{x}^{\mathrm{2}} }}{{x}^{\mathrm{6}} }\:{dx}\:. \\ $$
Question Number 76826 Answers: 1 Comments: 0
Question Number 76808 Answers: 1 Comments: 3
$$\int\frac{\mathrm{1}}{\sqrt{{x}^{\mathrm{3}} +\mathrm{1}}}{dx} \\ $$
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