Saved Bookmarks
| 1. |
Let `A=int_(0)^(1)(e^(x))/(x+1)` dx then answer the following questions in terms of A. Q. `int_(0)^(1)(x^(2)e^(x))/(x+1)dx` equalsA. `A-e`B. `e-2+A`C. `2+A`D. `2-e+A` |
|
Answer» Correct Answer - D `int_(0)^(1)(x^(2)e^(x))/(x+1)dx=int_(0)^(1)((x^(2)-1+1)e^(x))/(x+1)dx` `=int_(0)^(1)(x-1)e^(x)dx+int_(0)^(1)(e^(x))/(x+1)dx` `((x-1)e^(x)dx+int_(0)^(1)(e^(x))/(x+1)dx` `((x-1)e^(x)-e^(x))_(0)^(1)+A=((.a)-(-1-1))+A` `=2-e+A` |
|