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IntegrationQuestion and Answers: Page 251
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Question and Answers Forum |
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IntegrationQuestion and Answers: Page 251 |
| ((sin^6 x−cos^6 x)/(sin^2 xcos^2 x)).intregrate |
| sin^6 x−cos^6 x/sin^2 xcos^2 x |
| let f(x) =∫_0 ^(π/4) ln(1−x^2 cosθ)dθ with ∣x∣<1 1) find a explicit form of f(x) 2) calculate ∫_0 ^(π/4) ln(1−(1/4)cosθ)dθ . |
| Calculate : ∫(( sin^2 x cos^2 x)/((sin^3 x+cos^3 x)^2 )) dx |
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| ∫((sin^8 x−cos^8 x)/(1−2sin^2 x.cos^2 x)) = ? a) ((−1)/2)sin 2x b)(1/2)sin 2x c)None. |
| Please integrate ∫(((e^(cos x) sin x)/(1−x^2 )))dx |
| calculateA_n =(1/(2i)) ∫_0 ^1 {(1+ix)^n −(1−ix)^n }dx |
| calculate ∫∫_D (x^2 −y^2 )(√(x^2 +y^2 ))dxdy with D ={(x,y)∈R^2 / −1≤x≤1 and 0≤y≤2 } |
| calculate ∫∫_C ∣x+y∣dxdy with C=[−1,1]×[−1,1] |
| 1) calculate A_n =∫_0 ^∞ e^(−n[x]) sin(x)dx with n integr and n≥1 2) find nature of Σ_(n=1) ^∞ A_n |
| 1)find f(x) =∫_0 ^(π/4) ((sint)/(2+x cos(2t)))dt 2) find g(x) =∫_0 ^(π/4) ((sint sin(2t)/((2+x cos(2t))^2 ))dx 3) find the value of ∫_0 ^(π/4) ((sint)/(2+3 cos(2t)))dt and ∫_0 ^(π/4) ((sin(t)sin(2t))/((2+3cos(2t))^2 ))dt |
| evaluate ∫x^(3 ) J_3 (x)dx |
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| a) ∫ (dx/(√(1−tgx))) b)∫ (dx/((1−tgx))^(1/3) ) c)∫ (dx/(√(1−(√(1−x))))) |
| let α>0 calculate ∫_(−∞) ^(+∞) (1+αi)^(−x^2 ) dx . |
| find ∫_0 ^1 ((ln(x))/(1+x))dx . |
| find ∫_0 ^1 (e^x /(1+x))dx . |
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| Apply derivative criteria F(x)=x^3 +5x^2 −2x+3 |
| let f(a)= ∫_(−∞) ^(+∞) cos(x^2 +ax +1)dx 1)calculate f(a) and f^′ (a) 2) find f^((n)) (a) |
| ∫(1/(z(z^(17) +1)))=?? find please |
| ∫((sinx)/(sin4x))dx |
| ∫(1/(x^n +1))dx=?? |
| ∫(1/(x^(1/6) +x^(1/3) ))dx=?? |
| ∫(1/(x^5 +1))dx=?? |
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