Question and Answers Forum
IntegrationQuestion and Answers: Page 8
|
Question and Answers Forum |
|
IntegrationQuestion and Answers: Page 8 |
|
|
| ∫(((sin^n (θ)−sin (θ))^(1/n) cos (θ))/(sin^(n+1) (θ)))dθ |
| ∫((√x)/(1+x+x^2 +x^3 ))dx |
| ∫(dx/(xln x(ln ln x−1)(ln ln x−2)(ln ln x−3)(ln ln x−4))) |
| ∫_0 ^(π/2) (tan^2 θ+tan^5 θ)e^(tan^2 θ) dθ |
|
|
|
|
|
|
| if a_n = n^4 ∫_n ^(n+1) ((x dx)/(1+x^5 )) then (1) Σa_n is convergent or divergent?? (2) lim_(n→∞) a_(n ) = ?? |
| I= ∫_0 ^( (π/2) ) (( sin( 25x ))/(sinx)) dx=? |
| Find the area intersected by three circles of radius 1, centered at the origin, at (1, 0) and (1, 1) respectively. |
|
|
| prove ∫_0 ^∞ ((arctan (√(x^2 +2)))/((x^2 +1)(√(x^2 +2)))) dx=(π^2 /(12)) |
| the volume of the region between the planes x+y+2z=2 and 2x+y+z = 4 in the first octant is |
| Find the value of : Ω = ∫_0 ^( 1) ∫_0 ^( (√(1−x^2 ))) ∫_(√( x^( 2) +y^( 2) )) ^( (√(2−x^2 −y^2 ))) xy dz dy dx =? |
| ∫ ((sin x cos x)/( ((cos 2x))^(1/3) + (√(cos 2x)))) dx =? ∫ (dx/(sec x ((sin x))^(1/2) + cos x ((cosec^5 x))^(1/3) )) =? |
| ∫(1/(sinx−cos2x))dx |
|
|
|
|
|
|
|
|
|
|
| ∫_0 ^π ((tsin(t))/(1+t^2 ))dt |
| show that ∫_0 ^∞ (x^n /((x+1)(ax+b)))dx=((((b/a))^n −1)/(b−a))𝛑csc(𝛑n) a>0,b>0,∣n∣<1 guys kill this let me see |
| show that ∫_0 ^1 ((lnx)/(x^2 −1))dx=(𝛑^2 /8) |
|
|