Indefinite Integration questions
503 published questions with worked solutions.
- If an anti derivative of f(x) is e^x and an antiderivative of g(x) is x, then f(x) x ,dx+ g(x)e^x ,dx=
- If f(x) and g(x) are integrable functions then [ f(x)dx ] [ g(x)dx ]=
- x-2 x dx=
- If 2 1+ x ,dx=-4 (ax+b)+c, then the value of a,b respectively are..
- If 1 ^3x 2x dx=p( ^2x+q) x +c, then the values of p and q respectively are
- _0^ 10 [ e^x e^x-1 e^x+8 ]dx=
- cosec (x- ) cosec x ,dx =
- The value of dx 7+6x-x^ 2 is equal to
- If dx 1+3 ^ 2 x = 1 2 ^ -1 (f(x) )+c where c is a constant of integration, then f(x) is equal to
- The value of x x 9-16 ^ 2 x ,dx is equal to
- The value of dx 5+4 x is equal to
- If a>0,b>0 and 1 ax^2+b dx= 1 6 ^ -1 ( 2x 3 )+c, then 1 bx^2+a dx=
- If f ( x-1 x+1 )=x+1, then f(x)dx=
- If x^4+1 x^6+1 dx=
- If f(x)= x, then the value of e^ f(x) (x ^3x+f(x)) 1-(f(x))^2 dx=
- _0^ 5 e^x e^x-1 e^x+3 dx=
- ^3x ^2x+ x dx=
- ^4x ,dx is equal to
- (x+1)(x+ x)^2 x dx=
- x^2 - 4 x^4 + 9x^2 + 16 ,dx = ^ -1 (f(x)) + c (where c is a constant of integration), then value of f(2) is
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