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AllQuestion and Answers: Page 582 |
∫[((x/e))^x +((e/x))^x ]ln xdx |
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nice calculus.. prove that : I:=∫_0 ^( ∞) (( (1+e^( −x) )sin^( 2) (x))/x^( (3/2)) ) =(√(2π)) ( 1+ (√((√2) − 1)) ) m.n |
How to do it by ⊂ and ⊃ ? |
dear tinku tara: can you stop this guy who continuously misuses the forum for his own purposes, but not for exchanging with others. he doesn′t answer any request of other people in english or even in his native language. he ignores that other people red flag his posts. i don′t think people with such behavior are an enrichment for the forum. the forum is a public place. even there are no written roles, but it is clear what the forum is for. i think when we are in the cinema, we also don′t like that someone makes picnic in it. |
prove that the sum 2+2^2 +2^3 +2^4 +...+2^(2019) +2^(2020) is divisible by 30 |
x(√y) - y(√x) = 82 x(√x) + y(√y) = 83 (9/5) ∙ (x + y) = ? |
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lim_(x→2) ((x^2 e^x −4e^2 )/(x−2)) ? |
if (x)^(1/3) −((x−36))^(1/3) =3 find x−(1/x) |
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If x;y;z>0 then: ((4x^2 )/(x+y)) + ((8y^2 )/(y+z)) + ((4z^2 )/(z+x)) ≥ 2x + 5y + z |
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If a;b;c>0 and a^2 +b^2 +c^2 =3 Then prove that: Σ (a^3 /(b^2 + b + bc)) ≥ 1 |
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If f(0)=1, f(2)=3, f ′(2)=5, find the value of ∫_0 ^( 1) x f′′(2x) dx. |
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∫(x^(n−1) /(x^(3n+1) (x^n −1)))dx=? |
∫_(−1) ^( 0) ((x−1)/( (√(x^2 −4x+3)) )) dx =? |
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etudier la continuite, et derivabilite: x^2 sin((1/x)) si≠0 et f(0)=0 |
Pg 577 Pg 578 Pg 579 Pg 580 Pg 581 Pg 582 Pg 583 Pg 584 Pg 585 Pg 586 |