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IntegrationQuestion and Answers: Page 229
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Question and Answers Forum |
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IntegrationQuestion and Answers: Page 229 |
| ∫_( 0) ^( (π/2)) sin^(−1) (m cosθ) dθ |
| calculate ∫_0 ^∞ x e^(−(x^2 /a^2 )) sin(bx)dx with a>0 and b>0 |
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| ∫_0 ^1 ∫_0 ^1 (dy/(1+y(x^2 −x))) dx |
| Σ_(n = 1) ^m ((log n)/n^(3/2) ) |
| ∫((cos x)/(2+3sin x+sin^2 x))dx |
| ∫((1+×)/(√(1+×^2 )))dx |
| find the value of ∫_0 ^(π/2) (dx/(1+(tanx)^(√2) )) . |
| let f(z) =((cos(3z))/z^2 ) calculate Res(f,0) . |
| ∫((√((sinx)/x^3 ))/x^3 )dx |
| let f(z) =((sin(2z))/z^n ) with n integr natural calculate Res(f,0) |
| calculate ∫_0 ^(π/2) (ln(cosx))^2 dx |
| calculate ∫_0 ^∞ ((sin^2 (x))/(x^2 (1+x^2 )))dx |
| let f(z) =(1/(sin(πz))) calculate Res(f,n) with n integr |
| let f(z) =((sin(z))/z^2 ) calculate Res(f,0) |
| calculate ∫_0 ^π ((sin(2x))/(2cosx −3sinx))dx |
| calculate ∫_(−∞) ^(+∞) ((x^2 −3)/(x^4 +x^2 +1))dx . |
| ∫((ln(1+xsin^2 (x)))/(sin^2 (x))) dx |
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| ∫_0 ^( x) (1/(1+x^2 )) dx |
| find the value ∫_0 ^1 x^(√x) dx (study first the convergence) |
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| ∫((arctan(x))/x)dx |
| ∫x^x dx |
| let f(λ) =∫_0 ^(+∞) (x^4 /(x^6 +λ^6 )) dx with λ>0 1) calculate f(λ) 2) calculate also g(λ) =∫_0 ^∞ (x^4 /((x^6 +λ^6 )^2 ))dx 3) find the values of ∫_0 ^∞ (x^4 /(x^6 +1)) dx , ∫_0 ^∞ (x^4 /(x^6 +8))dx and ∫_0 ^∞ (x^4 /((x^6 +8)^2 ))dx. |
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