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Question Number 172631 Answers: 0 Comments: 3

Question Number 172628 Answers: 1 Comments: 2

Question Number 172613 Answers: 3 Comments: 0

min y=9 sin^2 x+ 4 csc^2 x + 3

$$\:\:\:{min}\:{y}=\mathrm{9}\:\mathrm{sin}\:^{\mathrm{2}} {x}+\:\mathrm{4}\:{csc}^{\mathrm{2}} {x}\:+\:\mathrm{3} \\ $$

Question Number 172612 Answers: 0 Comments: 0

Question Number 172611 Answers: 1 Comments: 0

Question Number 172610 Answers: 1 Comments: 0

Question Number 172609 Answers: 1 Comments: 0

Question Number 172608 Answers: 1 Comments: 0

Question Number 172607 Answers: 0 Comments: 0

Question Number 172606 Answers: 0 Comments: 0

Question Number 172605 Answers: 0 Comments: 0

Question Number 172604 Answers: 1 Comments: 0

Question Number 172603 Answers: 1 Comments: 0

Question Number 172602 Answers: 0 Comments: 0

Question Number 172601 Answers: 1 Comments: 0

Question Number 172600 Answers: 0 Comments: 0

Question Number 172599 Answers: 1 Comments: 0

Question Number 172595 Answers: 0 Comments: 0

Question Number 172584 Answers: 0 Comments: 0

Question Number 172583 Answers: 0 Comments: 4

Question Number 172575 Answers: 0 Comments: 0

Question Number 172564 Answers: 2 Comments: 0

find ∫_0 ^1 (√x)(√(1−(√x)))lnx dx

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{{x}}\sqrt{\mathrm{1}−\sqrt{{x}}}{lnx}\:{dx} \\ $$

Question Number 172560 Answers: 2 Comments: 1

prove for n∈N and n>1 (((n+1)/3))^n <n!<(((n+1)/2))^n

$${prove}\:{for}\:{n}\in{N}\:{and}\:{n}>\mathrm{1} \\ $$$$\left(\frac{{n}+\mathrm{1}}{\mathrm{3}}\right)^{{n}} <{n}!<\left(\frac{{n}+\mathrm{1}}{\mathrm{2}}\right)^{{n}} \\ $$

Question Number 172558 Answers: 1 Comments: 0

Question Number 172556 Answers: 3 Comments: 0

∫_ ln(1+x^2 )dx

$$\int_{} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){dx} \\ $$

Question Number 172555 Answers: 3 Comments: 3

∫_(1/5) ^5 ((arctan (x))/x) dx =?

$$\:\:\:\:\:\:\underset{\mathrm{1}/\mathrm{5}} {\overset{\mathrm{5}} {\int}}\:\frac{\mathrm{arctan}\:\left({x}\right)}{{x}}\:{dx}\:=? \\ $$

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