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IntegrationQuestion and Answers: Page 42
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Question and Answers Forum |
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IntegrationQuestion and Answers: Page 42 |
| ∫_0 ^∞ (e^(−t) /( (√t))) e^(−(1/(4t))) dt |
| ∫ (x/(5x^4 +x^3 −5x−1)) dx=? |
| ∫ ((cos 7x−cos 8x)/(1+2cos 5x)) dx =? |
| λ=∫ (dx/( (√(1+cos x))+(√(1+sin x)))) =? |
| ∫ (e^(−x) /(1+e^x )) dx=? |
| explicite f(a)=∫_0 ^(π/2) ln(a+tan^2 x)dx a≥2 |
| find the exact value of ∫_0 ^(2π) (dx/( (√(1+sin x))+(√(1+cos x)))) |
| ∫ ((sin 4x)/(4sin^4 x−4sin^2 x+1)) dx=? |
| calculate 1 : Ω= Σ_(n=1) ^∞ ((( H_( n) )/n) )^( 2) = ? 2 : ∫_0 ^( 1) ((ln^( 2) (x).Li_( 2) (x))/x) dx = ? |
| ∫_( 0) ^( π) ((x.sin (x))/(1+cos^2 (x) ))dx ∫_0 ^( π) (1/(1+cos^3 (x) +sin^3 (x) ))dx ∫_0 ^(π/2) ((x.cos(x)sin(x))/(tan^2 (x)+ cot^2 (x) ))dx ∫_0 ^( 1) tan^(−1) ((√(1−x^2 )))dx |
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| ∫_0 ^( π/2) ((cos x+cos^5 x sin x)/( (√(1+cos^2 x)))) dx =? |
| ∫ (dx/( (√(x+(x)^(1/3) )))) =? |
| ∫ ((sin^3 x+1)/(sin^2 x−1)) dx =? |
| NICE CALCULUS ∫_0 ^1 ((ln(1−x)ln(1−(x/2)))/x)dx=? |
| Q=∫ ((2sin (x))/( (√3) sin (x)−cos (x))) dx=? |
| Let I_n =∫x^n e^(−x) dx, n = 0,1,2,... (i) Show that I_n = −x^n e^(−x) +nI_(n−1) (ii) Show that ∫_0 ^∞ x^n e^(−x) dx = n! |
| ∫ sin^3 (3x) cos^4 (5x) dx=? |
| solve I= ∫_0 ^( (1/2)) ((ln^( 2) (x))/(1−x)) dx =? |
| ∫_(−2) ^(−1) e^(−(t/2)) (√(t+2)) dt = ??? |
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| Ω = ∫_0 ^( 1) ((Li_( 2) (1− x ))/(1+x)) dx = ? −−−−− |
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