Definite Integration questions
424 published questions with worked solutions.
- Let f : (-1,1) R be a continuous function. If _0^ x f(t) ,dt = 3 2 x, then f ( 3 2 ) is equal to:
- If 2 _0^1 ^ -1 x ,dx = _0^1 ^ -1 (1-x+x^2 )dx, then _0^1 ^ -1 (1-x+x^2 )dx is equal to
- For x R, x 0, if y(x) is a differentiable function such that x _1^xy(t)dt = (x+1) _1^xty(t)dt, then y(x) equals (where C is a...
- The value of the integral _4^ 10 [x^2 ] [x^2-28x+196 ]+ [x^2 ] dx, where [x] denotes the greatest integer less than or equal to...
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