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Question Number 122335    Answers: 0   Comments: 0

Question Number 122322    Answers: 4   Comments: 0

∣x+1∣<∣x^2 +2x+2∣ solve for x

x+1∣<∣x2+2x+2solveforx

Question Number 122318    Answers: 0   Comments: 0

Question Number 122303    Answers: 1   Comments: 3

((log1)/( (√1)))−((log3)/( (√3)))+((log5)/( (√5)))−((log7)/( (√7)))+..C=((π/4)−(γ/2)−(1/2)log(2π))((1/( (√1)))−(1/( (√3)))+..C) γ =Eulerian constant

log11log33+log55log77+..C=(π4γ212log(2π))(1113+..C)γ=Eulerianconstant

Question Number 122302    Answers: 3   Comments: 0

∫_0 ^∞ (dx/((1+x^2 )(4+x^2 )(16+x^2 )(64+x^2 )))

0dx(1+x2)(4+x2)(16+x2)(64+x2)

Question Number 122317    Answers: 0   Comments: 0

1+9((1/4))^4 +17(((1.5)/(4.8)))^4 +25(((1.5.9)/(4.8.12)))^4 +...=(π/(2(√2)(Γ^2 ((3/4)))))

1+9(14)4+17(1.54.8)4+25(1.5.94.8.12)4+...=π22(Γ2(34))

Question Number 122176    Answers: 2   Comments: 2

∫_0 ^(π/2) ((tanx))^(1/7) dx

0π2tanx7dx

Question Number 122377    Answers: 1   Comments: 4

Question Number 122069    Answers: 1   Comments: 0

∫_0 ^1 (1/( ((x^(96) −x^(97) ))^(1/(97)) ))dx

011x96x9797dx

Question Number 122023    Answers: 1   Comments: 0

Σ_(n=0) ^∞ (((−1)^n F_n )/7^n ) (F_n denotes Fibbonocci sequence)

n=0(1)nFn7n(FndenotesFibbonoccisequence)

Question Number 122013    Answers: 0   Comments: 6

∫_0 ^(π/(24)) log(tanθ)dθ Problem source: brilliant

0π24log(tanθ)dθProblemsource:brilliant

Question Number 121983    Answers: 1   Comments: 2

∫_0 ^(π/2) sin^n x dx (In closed form) (n∈N)

0π2sinnxdx(Inclosedform)(nN)

Question Number 121914    Answers: 0   Comments: 1

∫_0 ^(π/2) (sinθ)^(−(1/n)) dθ

0π2(sinθ)1ndθ

Question Number 121739    Answers: 1   Comments: 0

(1^(13) /(e^(2π) −1))+(2^(13) /(e^(4π) −1))+(3^(13) /(e^(6π) −1))+....

113e2π1+213e4π1+313e6π1+....

Question Number 121697    Answers: 3   Comments: 0

Q. FACTORIZE− (1) 9x^2 +12xy+4y^2 (2) 25x^2 −20xy+16y^2 (3) 36x^2 +42xy+49y^2 ★★VISHAL★★

Q.FACTORIZE(1)9x2+12xy+4y2(2)25x220xy+16y2(3)36x2+42xy+49y2VISHAL

Question Number 121678    Answers: 0   Comments: 0

Question Number 121677    Answers: 2   Comments: 1

Question Number 121659    Answers: 2   Comments: 4

∫_0 ^∞ (dx/((1+x^2 )(1+a^2 x^2 )(1+a^4 x^2 )(1+a^6 x^2 ).....))

0dx(1+x2)(1+a2x2)(1+a4x2)(1+a6x2).....

Question Number 121655    Answers: 2   Comments: 2

Question Number 121653    Answers: 0   Comments: 5

((log1)/( (√1)))−((log3)/( (√3)))+((log5)/( (√5)))−((log7)/( (√7)))+....

log11log33+log55log77+....

Question Number 121454    Answers: 1   Comments: 2

1+(1/1^2 )+(1/2^2 )+...+(1/((1.2)^2 ))+(1/((2.3)^2 ))+...+(1/((1.2.3)^2 ))+(1/((2.3.4)^2 ))+...+(1/((1.2.3.4)^2 ))+..... Or 1+Σ_(n=1) ^∞ (1/n^2 )+Σ_(n=1) ^∞ (1/((n(n+1))^2 ))+Σ^∞ (1/((n(n+1)(n+2))^2 ))+.....

1+112+122+...+1(1.2)2+1(2.3)2+...+1(1.2.3)2+1(2.3.4)2+...+1(1.2.3.4)2+.....Or1+n=11n2+n=11(n(n+1))2+1(n(n+1)(n+2))2+.....

Question Number 121326    Answers: 1   Comments: 3

((Σ_(n=1) ^∞ (1/(n^2 +1)))/(Σ_(n=2) ^∞ (1/(n^2 −1))))

n=11n2+1n=21n21

Question Number 121229    Answers: 1   Comments: 0

Question Number 121217    Answers: 0   Comments: 0

Question Number 121215    Answers: 0   Comments: 0

Question Number 121085    Answers: 3   Comments: 1

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