Saved Bookmarks
| 1. |
If intsqrt(2)(sqrt(1+sinx)dx=4cos(ax+b)+c, then the value of a,b are |
|
Answer» `(1)/(2),(pi)/(4)` `=sqrt(2)int("sin"(x)/(2)+"COS"(x)/(2))dx` `{because+-sqrt(1+sinA)=sin((A)/(2))+cos((A)/(2))]` `=2intsin((pi)/(4)+(x)/(2))dx` `=-4cos((x)/(2)+(pi)/(4))+C` But `l=-4cos(ax+b)+c` On comparing, we get `a=(1)/(2),b=(pi)/(4)`. |
|