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IntegrationQuestion and Answers: Page 21
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Question and Answers Forum |
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IntegrationQuestion and Answers: Page 21 |
| I_m = ∫_0 ^1 (((⌊2^m x⌋)/3^m ) Σ_(n=m+1) ^∞ ((⌊2^n x⌋)/3^n ))dx then find the value of I = Σ_(m=1) ^∞ I_m = ? |
| find the value of : Ω = ∫_0 ^( 1) (( ln ( 1+ (1/x^( 2) ) ))/(2 + x^( 2) )) dx = ? |
| find the value of : 𝛗 = Σ_(n=1) ^∞ (( (−1)^(n−1) H_( 2n) )/n) = ? where,H_n =1+(1/2) +(1/3) +...+(1/n) |
| I=∫_(−2) ^6 ((∣x−1∣)/(x−1)) dx =? |
| S= Σ_(k=1) ^∞ (( Γ^( 2) ( k ))/(k Γ (2k ))) = ? −−−− |
| ∫((x.arctg(x))/(x^2 +1))dx=? |
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| 2∫_0 ^1 tan^(−1) x dx=? |
| calcul ∫(lnx)^(√x) dx help pls |
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| find ∫_0 ^1 (tanx)^(1/n) dx |
| ∫_0 ^(π/2) (dx/(3+tan x)) =? |
| I = ∫_0 ^( ∞) ∫_0 ^( ∞) ∫_0 ^( ∞) ( 1+ x^2 + y^( 2) +z^( 2) )^( −(5/2)) dxdydz=? |
| Does anyone know how to prove this? ∫∫∫_V ((dxdydz)/(1+x^4 +y^4 +z^4 )) =((Γ^4 ((1/4)))/4^4 ) where V is the unit cube [0,1]^3 Thankyou. |
| evaluate ∫_(1/4) ^1 ∫_(√(x−x^2 )) ^(√x) ((x^2 −y^2 )/x^2 )dydx = ?? |
| calculate ∫_0 ^(π/2) ln(cosx).ln(sinx)dx |
| lim_(n→∞) ∫_(0 ) ^1 ((nx^(n−1) )/(1+x))dx = ? |
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| Is ∫f(x)dx=∫_0 ^x lim_(x→t) f(x)dt? |
| ∫(1/(x^3 −3x+7))dx |
| ∫_0 ^1 ^3 (√(1−x^7 )) dx − ∫^1 _0 ^7 (√(1−x^3 )) dx = ? |
| find ∫_0 ^(π/2) ln^2 (cosx)dx |
| Prove that ∫^( (π/2)) _( 0) ((ln(1+αsint))/(sint))dt= (π^2 /8)−(1/2)(arccosα)^2 |
| calculate Ω= ∫_0 ^( (π/2)) sin(x) (√( 1+^ sin(x)cos(x))) dx=? |
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