1.

The area bounded by `y=x^(2)+2 and y=2|x|-cospi x` is equal toA. `2//3`B. `8//3`C. `4//3`D. `1//3`

Answer» Correct Answer - B
Solving given curves
`x^(2)+2=2|x|-cos pix`
`rArr" "x^(2)-2|x|+2=-cos pix`
`rArr" "(|x|-1)^(2)+1=-cospix`
`rArr" "x=pm1`
`therefore" Required Area "=int_(-1)^(1)(x^(2)+2-2|x|+cospix)dx=8//3`


Discussion

No Comment Found