Definite Integration questions
424 published questions with worked solutions.
- The value of _0^ | ^3x| ,dx is
- If _e^xtf(t)dt = x - x x - x^2 2 , for all x R - 0 , then the value of f ( 6 ) is
- If [x] is the greatest integer ≤ x, then the value of the integral _ -0.9 ^ 0.9 ([x^2] + ( 2 - x 2 + x ) )dx is
- If g(x) = _0^x 4t ,dt, then g(x + ) equals
- If x = _0^y dt 1 + t^2 , then d^2y dx^2 is equal to :
- The value of _ - /2 ^ /2 ^2x 1 + 2^x dx is :
- For 0 x 2 , the value of _0^ ^2x ^ -1 ( t)dt + _0^ ^2x ^ -1 ( t)dt equals :
- Let f : [-2, 3] [0, ) be a continuous function such that f(1 − x) = f(x) for all x ∈ [−2, 3]. If R_1 is the numerical value of...
- If for a continuous function f(x), _ - ^ t (f(x) + x)dx = ^2 - t^2, for all t - , then f (- 3 ) is equal to:
- The value of _ n=1 ^ 10 _0^n x ,dx is
- _ x a x x-a _a^x f(x) ,dx is equal to
- The slope of the tangent to the curve y = _ 0 ^ x dx 1+x^ 3 at the point where x = 1 is
- If y = _ 0 ^ x t^ 2 t^ 2 +1 ,dt then the rate of change of y with respect to x when x = 1, is
- _ n _ r=1 ^ n 1 nr is equal to
- _ n _ r=0 ^ n-1 1 n^2-r^2 is
- _ n _ r=1 ^ n 1n e^ r/n is
- _ n _ r=1 ^ n 1n r 2n is
- _ n _ r=1 ^ 4n 1 n+r is
- _ n 1n _ r=1 ^ 2n r n^2+r^2 equals
- _ n 2^k+4^k+6^k+ +(2n)^k n^ k+1 , k -1, is equal to
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