Indefinite Integration questions
503 published questions with worked solutions.
- For k N, let 1 ( +1)( +2) ( +20) = _ k=0 ^ 20 A_k +k , where > 0. Then the value of 100 ( A_ 14 +A_ 15 A_ 13 )^2 is equal to...
- If x- x 8- 2x dx=a ^ -1 ( x+ x b )+c, where c is a constant of integration, then the ordered pair (a, b) is equal to :
- If _0^ ( ^3x)e^ - ^2x dx= - e _0^1 te^tdt, then the value of + is equal to_____.
- The value of the integral _0^1 xdx (1+x)(1+3x)(3+x) is :
- If 2e^x+3e^ -x 4e^x+7e^ -x dx= 1 14 (ux+v _e(4e^x+7e^ -x ))+C, Where C is a constant of integration, then u + v is equal to ———.
- The integral 1 [4] (x-1)^3(x+2)^5 dx is equal to : (where C is constant of integration)
- The integral e^ 3 _e2x +5e^ 2 _e2x e^ 4 _ex +5e^ 3 _ex -7e^ 2 _ex dx, x > 0, is equal to : (where c is a constant of integration)
- The value of the integral 2 ( ^6 + ^4 + ^2 ) 2 ^4 +3 ^2 +6 1- 2 d is : (where c is a constant of integration)
- The value of _ -1 ^1x^2e^ [x^3] dx, where [t] denotes the greatest integer t, is :
- The value of b > 3 for which 12 _3^b dx (x^2-1)(x^2-4) = _e ( 49 40 ), is equal to _____.
- The value of _0^ e^ x x (1+ ^2x)(e^ x + e^ - x ) dx is equal to :
- The integral (1 - 1/ 3 )( x − sin x)/(1 + (2/ 3 ) sin 2x) dx is equal to
- If 1x 1-x 1+x dx = g(x) + c, g(1) = 0, then g(1/2) is equal to
- The integral 24 _0^ 2 (2 - x^2)dx (2 + x^2) 4 + x^4 is equal to _____.
- The integral ^2x ( x + x)^ 9/2 ,dx equals (for some arbitrary constant K)
- The value of _0^1 4x^3 d^2 dx^2 (1 - x^2)^5 dx is
- The following integral _ 4 ^ 2 (2 , cosec ,x)^ 17 ,dx is equal to
- If I= _ k=1 ^ 98 _k^ k+1 k+1 x(x+1) ,dx, then
- The value of the integral _0^ 1 2 1+ 3 ((x+1)^2(1-x)^6 )^ 1 4 ,dx is _____.
- What is x^4-1 x^2 x^4+x^2+1 ,dx equal to?
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