2. The substitution t=a+b-x is used to
evaluate the integral  . Which one of the following integrals does it transform to ? |
|
| a) |  |
| b) |  |
| c) |  |
| d) |  |
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| 1. Which one of the followings is an anti-derivative of the function f(x) = 3x2 + 4x - 3x|x|? | |
| a) | x2(x - |x| - 2). |
| b) | x2(x + |x| + 2). |
| c) | x2(x - |x| + 2). |
| d) | x2(x + |x| - 2). |
| 2. The substitution t=a+b-x is used to
evaluate the integral . Which one of the following integrals does it transform to ? |
|
| a) | |
| b) | |
| c) | |
| d) | |
3. Let f be a function defined on R
such that  .
Which one of the followings is the value of F(1)-F(0) ? |
|
| a) | -1 |
| b) | 0 |
| c) | 1 |
| d) | None of the above |
| 4. Let f be a function defined on R. Suppose that F is an anti-derivative of f. Which one of the following statements is true ? | |
| a) | If f is odd, then F is even. |
| b) | If f is odd, then F is odd. |
| c) | If f is even, then F is odd. |
| d) | If f is even, then F is even. |