The area bounded by the curve y = 1/4 |4 -x ^2 | and y = 7 -|x| is

KVPY SX SB Exam 19-Nov-2017 Question Paper

Question : 83 of 120

Marks: +1, -0

The area bounded by the curve

y = 1/4 |4 -x ^2 |

and

y = 7 -|x|

Solution:

Required Area

A=2[∫↖{2}↙{0}(( 7 -x) -1/4(4-x^2))dx

+∫↖{4}↙{2}(( 7 -x) -1/4(x^2-4))dx]

solve this = 32

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