Indefinite Integration questions
503 published questions with worked solutions.
- _ /4 ^ 3 /4 dx 1+ x is equal to
- If _0^1xe^ x^2 dx= _0^1e^ x^2 dx then
- Let df(x) dx = e^ x x , x>0. If _1^4 3e^ x^3 x ,dx=f(k)-f(1) then one of the possible values of k is
- If 3x^3 + 5x - 4 (x^2 - 1)(x^2 - 4) = A x + 1 + B x - 1 + C x + 2 + D x - 2 then A + B + C + D is
- The value of _0^ /4 x ( x+ x)^2 ,dx is
- Let f'(x)=f(x) where f(0)=1. If f(x)+g(x)=x^2 then _0^1f(x)g(x) ,dx is equal to
- The value of _1^e x-1 1+( x)^2 ^2dx is equal to
- The value of _0^ 3 /4 1 - 2x ,dx is
- _0^1 ^ -1 x ,dx is equal to
- The value of _0^1 x^2 1 + x^6 ,dx is equal to
- The value of _ e^ -1 ^ e^ 2 | _e x x | dx is
- x^2 - 1 x^3 2x^4 - 2x^2 + 1 ,dx is equal to
- The value of 5050 _0^1(1 - x^ 50 )^ 100 ,dx _0^1(1 - x^ 50 )^ 101 ,dx is
- 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 F(x) be an indefinite integral of ^2 x. STATEMENT-1: The function F(x) satisfies F(x + ) = F(x) for all real x. STATEMENT-2:...
- Match the integrals in **Column I** with the values in **Column II**. Column I: (A) _ -1 ^ 1 dx 1 + x^2 (B) _ 0 ^ 1 dx 1 - x^2...
- The integral dx x^2 (x^4+1 )^ 34 equals to
- The integral dx (x+1)^ 3/4 (x-2)^ 5/4 , is equal to
- The integral 2x^ 12 +5x^9 (x^5+x^3+1 )^3 dx, is equal to
- The integral dx (1+ x) x-x^2 is equal to
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