Indefinite Integration questions
503 published questions with worked solutions.
- If 2x ^4x+ ^4x dx=f(x)+c where c is constant of integration, then the value of (f(x)) is
- 30x^ 14 +15^x 225 x^ 15 +15^x dx=
- The integral _ /6 ^ /3 ^ 2/3 x , cosec ^ 4/3 x ,dx is equal to
- x-3 (x-1)^3 ,e^x ,dx=
- 2+ x 2 x+ x 2 ,dx=
- If (t+ 1+t^2 ) 1+t^2 dt= 1 2 [g(t) ]^2+c, (where c is a constant of integration) then g(2) is
- If I = 2x - 7 3x - 2 ,dx, then I is given by
- (x^2 + a^2) x^2 ,dx =
- If f(x)= x^2dx (1+x^2) (1+ 1+x^2 ) and f(0) = 0, then f(1) is
- The value of e^x ( x^2 + 4x + 4 (x+4)^2 ) dx is
- If x^2 1-x dx = p 1-x (3x^2 + 4x + 8) + c where c is constant of integration, then the value of p is
- dx ^2 x - 1 = 1 A | 2x + 2x| - x B + c, (where c is constant of integration), then A + B =
- If I = dx (x-a) (x-b) , then I is given by
- 2x (1- 32 x ) e^ ^2x+ ^3x dx=
- If 5+7 -2 ^2 d =A _e|f( )|+c (where c is a constant of integration), then f( ) A can be
- x+ ^3x 2x dx=A x+B (f(x))+c (where c is a constant of integration). Then values of A, B and f(x) are
- If x^3dx 1+x^2 =a(1+x^2) 1+x^2 +b 1+x^2 +c (where c is a constant of integration), then the value of 3ab is
- cosec ^ -1 ( a+x x )dx=
- The value of ^6x+ ^6x ^2x ^2x dx is
- x^2dx (x^2+2)(x^2+5) =
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