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Question Number 226728 Answers: 0 Comments: 0
$$\mathrm{Find}:\:\:\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} \:\frac{\mathrm{dx}}{\mathrm{1}\:+\:\mathrm{sin}^{\mathrm{2}} \mathrm{x}}\:=\:? \\ $$
Question Number 226721 Answers: 3 Comments: 0
Question Number 226719 Answers: 0 Comments: 1
Question Number 226714 Answers: 0 Comments: 1
Question Number 226713 Answers: 0 Comments: 0
$$\:\:{If}\: \\ $$$${p}=\frac{\mathrm{1}}{{x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} } \\ $$$${what}\:{should}\:{p}=\frac{\left({N}\right)_{\mathrm{4}} }{\left({D}\right)_{\mathrm{4}} } \\ $$$$\left({N}\right)_{\mathrm{4}} \:{means}\:{numerator}\:{of}\:{p}\:\:{in} \\ $$$${quaternary}\:{for}\:{x}\:{to}\:{be}\:\mathrm{777}? \\ $$
Question Number 226705 Answers: 2 Comments: 0
Question Number 226702 Answers: 1 Comments: 0
$$\int\frac{{ln}\left({x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{2}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx}\left[\right. \\ $$
Question Number 226697 Answers: 1 Comments: 1
Question Number 226668 Answers: 1 Comments: 0
Question Number 226653 Answers: 0 Comments: 1
$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{Si}\left(\pi{n}\right)}{{n}^{\mathrm{2}} }=? \\ $$
Question Number 226651 Answers: 3 Comments: 1
Question Number 226641 Answers: 3 Comments: 1
$${if}\:\mathrm{log}\:_{\mathrm{8}} {a}+\mathrm{log}\:_{\mathrm{4}} {b}^{\mathrm{2}} =\mathrm{5} \\ $$$$\& \\ $$$$\mathrm{log}\:_{\mathrm{8}} ^{{b}} +\mathrm{log}\:_{\mathrm{4}} {a}^{\mathrm{2}} =\mathrm{7} \\ $$$${ab}=? \\ $$
Question Number 226675 Answers: 0 Comments: 5
Question Number 226638 Answers: 1 Comments: 1
Question Number 226635 Answers: 1 Comments: 0
Question Number 226622 Answers: 0 Comments: 2
Question Number 226626 Answers: 0 Comments: 0
Question Number 226624 Answers: 1 Comments: 1
Question Number 226619 Answers: 0 Comments: 3
$${factorise} \\ $$$${x}^{\mathrm{2}} −{qx}−{p}^{\mathrm{2}} +\mathrm{5}{pq}−\mathrm{6}{q}^{\mathrm{2}} \\ $$
Question Number 226612 Answers: 0 Comments: 1
Question Number 226610 Answers: 2 Comments: 0
Question Number 226608 Answers: 1 Comments: 0
Question Number 226609 Answers: 3 Comments: 0
Question Number 226603 Answers: 3 Comments: 0
$${Formulate}\:{the}\:{differential} \\ $$$${equation}\:{of}\:{the}\:{solution} \\ $$$$\left({a}\right){y}={Ae}^{{bx}+\mathrm{1}} \\ $$$$\left({b}\right){y}={A}\mathrm{sin}\:{x}+{B}\mathrm{cos}\:{x} \\ $$$$ \\ $$
Question Number 226601 Answers: 1 Comments: 0
Question Number 226598 Answers: 1 Comments: 0
$$\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{5}} ={a}_{\mathrm{5}} {x}^{\mathrm{5}} +{a}_{\mathrm{4}} {x}^{\mathrm{4}} +{a}_{\mathrm{3}} {x}^{\mathrm{3}} ..+{a}_{\mathrm{1}} {x}+{a}_{\mathrm{0}} \\ $$$${find}\:{a}_{\mathrm{5}} +{a}_{\mathrm{3}} +{a}_{\mathrm{1}} {and}\:{a}_{\mathrm{4}} +{a}_{\mathrm{2}} +{a}_{\mathrm{0}} \\ $$
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