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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` |
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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` |
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