推 moswe :謝謝解答 05/11 17:57
※ 引述《moswe ( )》之銘言：
: (1)find the area of the area of the region between the x-axis and
: 3
: the graph of F(X)=x- x
: -1 > x> 1
: _ _
: (都大於等於)
應該反了?都小於等於?
0 1
A=|∫F(X) dx| + |∫F(X) dx|
-1 0
0 1
= | (1/4)x^4-(1/2)x^2| | + |(1/4)x^4-(1/2)x^2| |
-1 0
=|1/4| + |-1/4| =1/2#
: (2)
: 3
: ∫∣x∣dx
: -2
0 3
= | ∫x dx| +|∫xdx|
-2 0
0 3
=| (1/2)x^2| | + | (1/2)x^2| |
-2 0
=|-2| + |9/2|
=13/2#
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