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Question Number 81851 Answers: 0 Comments: 0
$$\left.\mathrm{1}\right){find}\:\int\:\:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$
Question Number 81836 Answers: 0 Comments: 0
Question Number 81835 Answers: 0 Comments: 1
Question Number 81829 Answers: 1 Comments: 2
Question Number 81828 Answers: 0 Comments: 0
Question Number 81824 Answers: 1 Comments: 0
Question Number 81821 Answers: 1 Comments: 0
Question Number 81804 Answers: 2 Comments: 1
Question Number 81801 Answers: 1 Comments: 1
Question Number 81797 Answers: 0 Comments: 1
Question Number 81794 Answers: 1 Comments: 2
Question Number 81786 Answers: 0 Comments: 5
Question Number 81913 Answers: 0 Comments: 1
Question Number 81771 Answers: 1 Comments: 3
Question Number 81769 Answers: 0 Comments: 2
Question Number 81768 Answers: 1 Comments: 4
Question Number 81763 Answers: 0 Comments: 2
$${Q}.\:{Find}\:{the}\:{minimum}\:{value}\:{of}\: \\ $$$$\mathrm{3}{cosx}\:+\:\mathrm{4}{sinx}\:+\:\mathrm{8}. \\ $$
Question Number 81760 Answers: 0 Comments: 2
$${prove}\: \\ $$$$\mathrm{sin}\:{a}+\mathrm{sin}\:{b}+\mathrm{sin}\:{c}\:=? \\ $$$$\mathrm{4cos}\:\left(\frac{{a}}{\mathrm{2}}\right)\mathrm{cos}\:\left(\frac{{b}}{\mathrm{2}}\right)\mathrm{cos}\:\left(\frac{{c}}{\mathrm{2}}\right) \\ $$
Question Number 81759 Answers: 0 Comments: 1
Question Number 81755 Answers: 1 Comments: 0
Question Number 81750 Answers: 0 Comments: 0
Question Number 81741 Answers: 0 Comments: 2
Question Number 81740 Answers: 0 Comments: 1
Question Number 81739 Answers: 2 Comments: 1
$$\int\frac{{dx}}{{cos}^{\mathrm{3}} {x}−{sin}^{\mathrm{3}} {x}} \\ $$
Question Number 81734 Answers: 0 Comments: 4
$${The}\:{vertices}\:{of}\:{quadrilateral} \\ $$$${lie}\:{on}\:{the}\:{graph}\:{of}\:{y}\:=\:{lnx}\:{and}\: \\ $$$${the}\:{x}−{coordinates}\:{of}\:{these}\:{vertices} \\ $$$${are}\:{consecutive}\:{positive}\:{integer} \\ $$$$.\:{The}\:{area}\:{of}\:{the}\:{quadrilateral} \\ $$$${is}\:{ln}\:\left(\frac{\mathrm{91}}{\mathrm{90}}\right).\:{what}\:{is}\:{the}\:{x}−{coordinate} \\ $$$${of}\:{the}\:{leftmost}\:{vertex} \\ $$
Question Number 81733 Answers: 0 Comments: 2
$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{n}}{\left({n}+\mathrm{1}\right)\centerdot\mathrm{5}^{{n}} }\:\:=\:\:? \\ $$
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