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Question Number 156319 Answers: 1 Comments: 1
$$\:\int\:\frac{\mathrm{36}}{\left(\mathrm{12cos}\:\mathrm{x}+\mathrm{5sin}\:\mathrm{x}\right)^{\mathrm{2}} }\:\mathrm{dx}=? \\ $$
Question Number 156316 Answers: 3 Comments: 1
Question Number 156313 Answers: 0 Comments: 0
$$\:\mathrm{rationalize}\:\frac{\mathrm{2}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}}−\sqrt[{\mathrm{3}}]{\mathrm{6}}−\sqrt[{\mathrm{3}}]{\mathrm{9}}}\: \\ $$
Question Number 156308 Answers: 0 Comments: 0
$$\mathrm{Find}\:\mathrm{exact}\:\mathrm{form}\:\mathrm{sin}\:\mathrm{1}° \\ $$
Question Number 156305 Answers: 1 Comments: 0
$$\:\:\int\:\frac{\mathrm{sec}\:^{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{3sin}\:^{\mathrm{2}} \left(\mathrm{x}\right)−\mathrm{1}}\:\mathrm{dx} \\ $$
Question Number 156296 Answers: 0 Comments: 4
Question Number 156295 Answers: 2 Comments: 0
Question Number 156292 Answers: 0 Comments: 0
$$\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{3}}{\mathrm{3}×\mathrm{7}}+\frac{\mathrm{5}}{\mathrm{3}×\mathrm{7}×\mathrm{11}}+\frac{\mathrm{7}}{\mathrm{3}×\mathrm{7}×\mathrm{11}×\mathrm{15}}+\ldots \\ $$
Question Number 156290 Answers: 0 Comments: 0
Question Number 156281 Answers: 2 Comments: 0
$$\int_{−\mathrm{3}} ^{\mathrm{5}} \:\sqrt{\mid{x}\mid^{\mathrm{3}} }{dx} \\ $$
Question Number 156275 Answers: 1 Comments: 0
$${Helllo}\:{to}\:{All}\:{Good}\:\left({morning}\:{night}\right) \\ $$$${we}\:{are}\:{her}\:{too}\:{shar}\:{our}\:{knowelegdes} \\ $$$${we}\:{must}\:{respect}\:{evrey}\:{one}\:{we}\:{need}\:{that} \\ $$$${positiv}\:{energy}\:{sorry}\:{for}\:{my}\:{English} \\ $$$$ \\ $$
Question Number 156270 Answers: 1 Comments: 1
$$\mathrm{Show}\:\mathrm{that}\:\:\:\:\:\:\mathrm{i}\:\:\:\:=\:\:\:\mathrm{sin}^{−\:\mathrm{1}} \left(\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right)^{\mathrm{2}} \:\:\:\:\mathrm{in}\:\mathrm{air},\:\mathrm{if}\:\mathrm{the}\:\mathrm{refractive} \\ $$$$\mathrm{index}\:\:\:\:\:\:\:\:\mathrm{n}\:\:\:=\:\:\:\frac{\mathrm{sin}^{\mathrm{2}} \left(\mathrm{60}\right)}{\mathrm{sin}^{\mathrm{2}} \left(\mathrm{45}\right)} \\ $$
Question Number 156259 Answers: 0 Comments: 0
Question Number 156257 Answers: 0 Comments: 0
$$\:\int\:\frac{{x}\mathrm{sin}^{−\mathrm{1}} \left({x}^{\mathrm{2}} \right)}{\mathrm{1}−{x}^{\mathrm{4}} }\:{dx}=? \\ $$
Question Number 156253 Answers: 1 Comments: 0
Question Number 156252 Answers: 1 Comments: 1
Question Number 156250 Answers: 0 Comments: 1
$$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{x}\:\sqrt{\mathrm{cos}\:\mathrm{2x}}\:\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\mathrm{3x}}\:\sqrt[{\mathrm{4}}]{\mathrm{cos}\:\mathrm{4x}}}{\mathrm{x}^{\mathrm{2}} }\:=? \\ $$
Question Number 156248 Answers: 1 Comments: 0
Question Number 156244 Answers: 1 Comments: 0
$${solve}\:{the}\:{pairs}\:{of}\:{simultaneous}\:{equations} \\ $$$${ax}−\mathrm{2}{y}=\mathrm{2} \\ $$$${x}+\mathrm{3}{y}=\mathrm{3} \\ $$$${qy}−{px}=\left({q}^{\mathrm{2}} −{p}^{\mathrm{2}} \right)/{pq} \\ $$$${py}+{qx}=\mathrm{2} \\ $$
Question Number 156240 Answers: 0 Comments: 3
$$\underset{\frac{−\pi}{\mathrm{2}}} {\int}^{\frac{\pi}{\mathrm{2}}} \mid{sin}\left({x}\right)\mid\:{dx} \\ $$$$\underset{\mathrm{0}} {\int}^{\pi} \mid{cos}\left({x}\right)\mid{dx} \\ $$
Question Number 156269 Answers: 0 Comments: 1
Question Number 156229 Answers: 0 Comments: 4
$$\: \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \:\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{2}{x}\right)+\mathrm{cos}\left(\mathrm{3}{x}\right)\right)\:{dx} \\ $$$$\: \\ $$
Question Number 156228 Answers: 1 Comments: 0
$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{log}^{\mathrm{3}} \left(\mathrm{1}−{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{3}} }\:{dx} \\ $$$$\: \\ $$
Question Number 156224 Answers: 0 Comments: 1
$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{1}}{\:\sqrt{\mathrm{ln}\left({x}^{\mathrm{2}} \right)+\mathrm{1}}\:}\:{dx} \\ $$$$\: \\ $$
Question Number 156222 Answers: 0 Comments: 1
$$\: \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\mathrm{ln}\left(\left(\mathrm{sin}\left({x}\right)\mathrm{cos}\left({x}\right)\right)^{\mathrm{2}} +\mathrm{1}\right)\:{dx} \\ $$$$\: \\ $$
Question Number 156218 Answers: 1 Comments: 4
$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{1}}{\:\sqrt{{x}\sqrt{{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{4}} +\mathrm{1}}}}}\:}\:{dx} \\ $$$$\: \\ $$
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