Indefinite Integration questions
503 published questions with worked solutions.
- Let f(x) = x (1 + x^n)^ 1/n for n ≥ 2 and g(x) = (f f f) _ f occurs n times (x). Then x^ n-2 g(x) ,dx equals
- Let I = e^x e^ 4x + e^ 2x + 1 ,dx, J = e^ -x e^ -4x + e^ -2x + 1 ,dx. Then, for an arbitrary constant C, the value of J − I equals
- Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2. Then the...
- The value of the integral I = _0^1 x(1 - x)^ndx is
- If x (x - ) dx = Ax + B (x - ) + C, then value of (A, B) is
- dx x - x is equal to
- The value of I = _0^ /2 ( x + x)^2 1 + 2x dx is
- ( x - 1) (1 + ( x)^2) ^2dx is equal to
- dx x + 3 x equals
- The solution for x of the equation _ 2 ^ x dt t t^2 - 1 = 2 is
- The value of 2 x ,dx (x - 4 ) is
- The value of I= dx x^2(x^4+1)^ 3/4 is
- (f(x)g''(x)-f''(x)g(x) )dx is equal to
- x 3x dx is equal to
- 3^ 3^x 3^x ,dx=
- (1+x)^ 1+x dx=
- ( x+2 x+4 )^2e^xdx=
- cosec x ,dx ^2 (1+ x 2 ) =
- The value of x dx is equal to
- If f ( x-4 x-2 ) = 2x + 1, x IR - 1, -2 , then f(x) ,dx is equal to
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