Saved Bookmarks
| 1. |
`f(x)`is a continuous function for all real values of `x`and satisfies `int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot`Then `int_(-3)^5f(|x|)dx`is equal to`(19)/2`(b) `(35)/2`(c) `(17)/2`(d) none of these |
|
Answer» Correct Answer - 7 `int_(-3)^(5)f(|x|)dx=int_(-3)^(3)(f|x|)dx+int_(3)^(5)f(|x|)dx` `=2int_(0)^(3)f(x)dx+int_(3)^(5)f(x)dx` `=2(int_(0)^(1)f(x)dx+int_(1)^(3)f(x)dx+int_(2)^(3)f(x)dx)+(int_(3)^(4)f(x)dx+int_(4)^(5)f(x)dx)` `=(0+(1)/(2)+(2^(2))/(2))+(9)/(2)+(16)/(2))=(35)/(2)` |
|